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Finding the Third Proportional to 12,904.88 and 17,488.13

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Solution

The third proportional to 12,904.88 and 17,488.13 is: 23,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.88 : 17,488.13 = 17,488.13 : x
  2. Step 2: Convert to fraction form
    12,904.88/17,488.13 = 17,488.13/x
  3. Step 3: Cross multiply
    12,904.88x = 17,488.13 × 17,488.13
  4. Step 4: Simplify right side
    12,904.88x = 305,834,516.02
  5. Step 5: Solve for x
    x = 305,834,516.02/12,904.88
  6. Step 6: Final answer
    x = 23,699.15

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.