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Finding the Third Proportional to 22,718.25 and 34,486.13

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Solution

The third proportional to 22,718.25 and 34,486.13 is: 52,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,718.25 : 34,486.13 = 34,486.13 : x
  2. Step 2: Convert to fraction form
    22,718.25/34,486.13 = 34,486.13/x
  3. Step 3: Cross multiply
    22,718.25x = 34,486.13 × 34,486.13
  4. Step 4: Simplify right side
    22,718.25x = 1,189,292,817.52
  5. Step 5: Solve for x
    x = 1,189,292,817.52/22,718.25
  6. Step 6: Final answer
    x = 52,349.67

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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.