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Finding the Third Proportional to 17,710.31 and 24,759.84

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Solution

The third proportional to 17,710.31 and 24,759.84 is: 34,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.31 : 24,759.84 = 24,759.84 : x
  2. Step 2: Convert to fraction form
    17,710.31/24,759.84 = 24,759.84/x
  3. Step 3: Cross multiply
    17,710.31x = 24,759.84 × 24,759.84
  4. Step 4: Simplify right side
    17,710.31x = 613,049,862.52
  5. Step 5: Solve for x
    x = 613,049,862.52/17,710.31
  6. Step 6: Final answer
    x = 34,615.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.