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Finding the Third Proportional to 8,299.97 and 12,710.04

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Solution

The third proportional to 8,299.97 and 12,710.04 is: 19,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.97 : 12,710.04 = 12,710.04 : x
  2. Step 2: Convert to fraction form
    8,299.97/12,710.04 = 12,710.04/x
  3. Step 3: Cross multiply
    8,299.97x = 12,710.04 × 12,710.04
  4. Step 4: Simplify right side
    8,299.97x = 161,545,092.97
  5. Step 5: Solve for x
    x = 161,545,092.97/8,299.97
  6. Step 6: Final answer
    x = 19,463.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.