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Finding the Third Proportional to 42,723.50 and 64,721.50

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Solution

The third proportional to 42,723.50 and 64,721.50 is: 98,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723.50 : 64,721.50 = 64,721.50 : x
  2. Step 2: Convert to fraction form
    42,723.50/64,721.50 = 64,721.50/x
  3. Step 3: Cross multiply
    42,723.50x = 64,721.50 × 64,721.50
  4. Step 4: Simplify right side
    42,723.50x = 4,188,872,562.25
  5. Step 5: Solve for x
    x = 4,188,872,562.25/42,723.50
  6. Step 6: Final answer
    x = 98,046.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.