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Finding the Third Proportional to 24,437 and 38,114.50

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Solution

The third proportional to 24,437 and 38,114.50 is: 59,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437 : 38,114.50 = 38,114.50 : x
  2. Step 2: Convert to fraction form
    24,437/38,114.50 = 38,114.50/x
  3. Step 3: Cross multiply
    24,437x = 38,114.50 × 38,114.50
  4. Step 4: Simplify right side
    24,437x = 1,452,715,110.25
  5. Step 5: Solve for x
    x = 1,452,715,110.25/24,437
  6. Step 6: Final answer
    x = 59,447.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.