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Finding the Third Proportional to 42,382.50 and 62,277.50

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Solution

The third proportional to 42,382.50 and 62,277.50 is: 91,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.50 : 62,277.50 = 62,277.50 : x
  2. Step 2: Convert to fraction form
    42,382.50/62,277.50 = 62,277.50/x
  3. Step 3: Cross multiply
    42,382.50x = 62,277.50 × 62,277.50
  4. Step 4: Simplify right side
    42,382.50x = 3,878,487,006.25
  5. Step 5: Solve for x
    x = 3,878,487,006.25/42,382.50
  6. Step 6: Final answer
    x = 91,511.52

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