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Finding the Third Proportional to 12,658.64 and 27,700.17

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Solution

The third proportional to 12,658.64 and 27,700.17 is: 60,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.64 : 27,700.17 = 27,700.17 : x
  2. Step 2: Convert to fraction form
    12,658.64/27,700.17 = 27,700.17/x
  3. Step 3: Cross multiply
    12,658.64x = 27,700.17 × 27,700.17
  4. Step 4: Simplify right side
    12,658.64x = 767,299,521.90
  5. Step 5: Solve for x
    x = 767,299,521.90/12,658.64
  6. Step 6: Final answer
    x = 60,614.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.