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Finding the Third Proportional to 6,686.16 and 10,347.47

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Solution

The third proportional to 6,686.16 and 10,347.47 is: 16,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.16 : 10,347.47 = 10,347.47 : x
  2. Step 2: Convert to fraction form
    6,686.16/10,347.47 = 10,347.47/x
  3. Step 3: Cross multiply
    6,686.16x = 10,347.47 × 10,347.47
  4. Step 4: Simplify right side
    6,686.16x = 107,070,109.53
  5. Step 5: Solve for x
    x = 107,070,109.53/6,686.16
  6. Step 6: Final answer
    x = 16,013.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.