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Finding the Third Proportional to 8,866.13 and 14,196.94

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Solution

The third proportional to 8,866.13 and 14,196.94 is: 22,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.13 : 14,196.94 = 14,196.94 : x
  2. Step 2: Convert to fraction form
    8,866.13/14,196.94 = 14,196.94/x
  3. Step 3: Cross multiply
    8,866.13x = 14,196.94 × 14,196.94
  4. Step 4: Simplify right side
    8,866.13x = 201,553,034.38
  5. Step 5: Solve for x
    x = 201,553,034.38/8,866.13
  6. Step 6: Final answer
    x = 22,732.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.