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Finding the Third Proportional to 12,337.88 and 17,584.03

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Solution

The third proportional to 12,337.88 and 17,584.03 is: 25,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.88 : 17,584.03 = 17,584.03 : x
  2. Step 2: Convert to fraction form
    12,337.88/17,584.03 = 17,584.03/x
  3. Step 3: Cross multiply
    12,337.88x = 17,584.03 × 17,584.03
  4. Step 4: Simplify right side
    12,337.88x = 309,198,155.00
  5. Step 5: Solve for x
    x = 309,198,155.00/12,337.88
  6. Step 6: Final answer
    x = 25,060.89

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.