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Finding the Third Proportional to 6,839.75 and 14,725.13

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Solution

The third proportional to 6,839.75 and 14,725.13 is: 31,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.75 : 14,725.13 = 14,725.13 : x
  2. Step 2: Convert to fraction form
    6,839.75/14,725.13 = 14,725.13/x
  3. Step 3: Cross multiply
    6,839.75x = 14,725.13 × 14,725.13
  4. Step 4: Simplify right side
    6,839.75x = 216,829,306.27
  5. Step 5: Solve for x
    x = 216,829,306.27/6,839.75
  6. Step 6: Final answer
    x = 31,701.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.