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Finding the Third Proportional to 42,938 and 63,121.50

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Solution

The third proportional to 42,938 and 63,121.50 is: 92,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,938 : 63,121.50 = 63,121.50 : x
  2. Step 2: Convert to fraction form
    42,938/63,121.50 = 63,121.50/x
  3. Step 3: Cross multiply
    42,938x = 63,121.50 × 63,121.50
  4. Step 4: Simplify right side
    42,938x = 3,984,323,762.25
  5. Step 5: Solve for x
    x = 3,984,323,762.25/42,938
  6. Step 6: Final answer
    x = 92,792.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.