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Finding the Third Proportional to 6,781.88 and 14,725.88

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Solution

The third proportional to 6,781.88 and 14,725.88 is: 31,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.88 : 14,725.88 = 14,725.88 : x
  2. Step 2: Convert to fraction form
    6,781.88/14,725.88 = 14,725.88/x
  3. Step 3: Cross multiply
    6,781.88x = 14,725.88 × 14,725.88
  4. Step 4: Simplify right side
    6,781.88x = 216,851,394.52
  5. Step 5: Solve for x
    x = 216,851,394.52/6,781.88
  6. Step 6: Final answer
    x = 31,975.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.