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Finding the Third Proportional to 14,617.13 and 23,655.38

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Solution

The third proportional to 14,617.13 and 23,655.38 is: 38,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,617.13 : 23,655.38 = 23,655.38 : x
  2. Step 2: Convert to fraction form
    14,617.13/23,655.38 = 23,655.38/x
  3. Step 3: Cross multiply
    14,617.13x = 23,655.38 × 23,655.38
  4. Step 4: Simplify right side
    14,617.13x = 559,576,766.39
  5. Step 5: Solve for x
    x = 559,576,766.39/14,617.13
  6. Step 6: Final answer
    x = 38,282.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.