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Finding the Third Proportional to 42,716.25 and 64,712.25

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Solution

The third proportional to 42,716.25 and 64,712.25 is: 98,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,716.25 : 64,712.25 = 64,712.25 : x
  2. Step 2: Convert to fraction form
    42,716.25/64,712.25 = 64,712.25/x
  3. Step 3: Cross multiply
    42,716.25x = 64,712.25 × 64,712.25
  4. Step 4: Simplify right side
    42,716.25x = 4,187,675,300.06
  5. Step 5: Solve for x
    x = 4,187,675,300.06/42,716.25
  6. Step 6: Final answer
    x = 98,034.71

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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.