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Finding the Third Proportional to 17,708.63 and 24,789.80

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Solution

The third proportional to 17,708.63 and 24,789.80 is: 34,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.63 : 24,789.80 = 24,789.80 : x
  2. Step 2: Convert to fraction form
    17,708.63/24,789.80 = 24,789.80/x
  3. Step 3: Cross multiply
    17,708.63x = 24,789.80 × 24,789.80
  4. Step 4: Simplify right side
    17,708.63x = 614,534,029.10
  5. Step 5: Solve for x
    x = 614,534,029.10/17,708.63
  6. Step 6: Final answer
    x = 34,702.53

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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.