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Finding the Third Proportional to 7,624.13 and 16,801.17

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Solution

The third proportional to 7,624.13 and 16,801.17 is: 37,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.13 : 16,801.17 = 16,801.17 : x
  2. Step 2: Convert to fraction form
    7,624.13/16,801.17 = 16,801.17/x
  3. Step 3: Cross multiply
    7,624.13x = 16,801.17 × 16,801.17
  4. Step 4: Simplify right side
    7,624.13x = 282,279,376.37
  5. Step 5: Solve for x
    x = 282,279,376.37/7,624.13
  6. Step 6: Final answer
    x = 37,024.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.