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Finding the Third Proportional to 6,690 and 15,613

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Solution

The third proportional to 6,690 and 15,613 is: 36,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690 : 15,613 = 15,613 : x
  2. Step 2: Convert to fraction form
    6,690/15,613 = 15,613/x
  3. Step 3: Cross multiply
    6,690x = 15,613 × 15,613
  4. Step 4: Simplify right side
    6,690x = 243,765,769
  5. Step 5: Solve for x
    x = 243,765,769/6,690
  6. Step 6: Final answer
    x = 36,437.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.