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Finding the Third Proportional to 39,672.50 and 61,468

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Solution

The third proportional to 39,672.50 and 61,468 is: 95,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,672.50 : 61,468 = 61,468 : x
  2. Step 2: Convert to fraction form
    39,672.50/61,468 = 61,468/x
  3. Step 3: Cross multiply
    39,672.50x = 61,468 × 61,468
  4. Step 4: Simplify right side
    39,672.50x = 3,778,315,024
  5. Step 5: Solve for x
    x = 3,778,315,024/39,672.50
  6. Step 6: Final answer
    x = 95,237.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.