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Finding the Third Proportional to 6,842.92 and 14,753.71

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Solution

The third proportional to 6,842.92 and 14,753.71 is: 31,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.92 : 14,753.71 = 14,753.71 : x
  2. Step 2: Convert to fraction form
    6,842.92/14,753.71 = 14,753.71/x
  3. Step 3: Cross multiply
    6,842.92x = 14,753.71 × 14,753.71
  4. Step 4: Simplify right side
    6,842.92x = 217,671,871.16
  5. Step 5: Solve for x
    x = 217,671,871.16/6,842.92
  6. Step 6: Final answer
    x = 31,809.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.