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Finding the Third Proportional to 6,918 and 10,730

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Solution

The third proportional to 6,918 and 10,730 is: 16,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 10,730 = 10,730 : x
  2. Step 2: Convert to fraction form
    6,918/10,730 = 10,730/x
  3. Step 3: Cross multiply
    6,918x = 10,730 × 10,730
  4. Step 4: Simplify right side
    6,918x = 115,132,900
  5. Step 5: Solve for x
    x = 115,132,900/6,918
  6. Step 6: Final answer
    x = 16,642.51

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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.