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Finding the Third Proportional to 6,656 and 15,687

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Solution

The third proportional to 6,656 and 15,687 is: 36,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656 : 15,687 = 15,687 : x
  2. Step 2: Convert to fraction form
    6,656/15,687 = 15,687/x
  3. Step 3: Cross multiply
    6,656x = 15,687 × 15,687
  4. Step 4: Simplify right side
    6,656x = 246,081,969
  5. Step 5: Solve for x
    x = 246,081,969/6,656
  6. Step 6: Final answer
    x = 36,971.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.