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Finding the Third Proportional to 42,447.75 and 64,593.75

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Solution

The third proportional to 42,447.75 and 64,593.75 is: 98,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447.75 : 64,593.75 = 64,593.75 : x
  2. Step 2: Convert to fraction form
    42,447.75/64,593.75 = 64,593.75/x
  3. Step 3: Cross multiply
    42,447.75x = 64,593.75 × 64,593.75
  4. Step 4: Simplify right side
    42,447.75x = 4,172,352,539.06
  5. Step 5: Solve for x
    x = 4,172,352,539.06/42,447.75
  6. Step 6: Final answer
    x = 98,293.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.