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Finding the Third Proportional to 22,416.50 and 31,416.25

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Solution

The third proportional to 22,416.50 and 31,416.25 is: 44,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,416.50 : 31,416.25 = 31,416.25 : x
  2. Step 2: Convert to fraction form
    22,416.50/31,416.25 = 31,416.25/x
  3. Step 3: Cross multiply
    22,416.50x = 31,416.25 × 31,416.25
  4. Step 4: Simplify right side
    22,416.50x = 986,980,764.06
  5. Step 5: Solve for x
    x = 986,980,764.06/22,416.50
  6. Step 6: Final answer
    x = 44,029.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.