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Finding the Third Proportional to 22,416.75 and 34,035.19

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Solution

The third proportional to 22,416.75 and 34,035.19 is: 51,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.75 : 34,035.19 = 34,035.19 : x
  2. Step 2: Convert to fraction form
    22,416.75/34,035.19 = 34,035.19/x
  3. Step 3: Cross multiply
    22,416.75x = 34,035.19 × 34,035.19
  4. Step 4: Simplify right side
    22,416.75x = 1,158,393,988.16
  5. Step 5: Solve for x
    x = 1,158,393,988.16/22,416.75
  6. Step 6: Final answer
    x = 51,675.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.