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Finding the Third Proportional to 42,725 and 63,738.50

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Solution

The third proportional to 42,725 and 63,738.50 is: 95,087.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,725 : 63,738.50 = 63,738.50 : x
  2. Step 2: Convert to fraction form
    42,725/63,738.50 = 63,738.50/x
  3. Step 3: Cross multiply
    42,725x = 63,738.50 × 63,738.50
  4. Step 4: Simplify right side
    42,725x = 4,062,596,382.25
  5. Step 5: Solve for x
    x = 4,062,596,382.25/42,725
  6. Step 6: Final answer
    x = 95,087.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.