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Finding the Third Proportional to 5,135 and 9,613

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Solution

The third proportional to 5,135 and 9,613 is: 17,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135 : 9,613 = 9,613 : x
  2. Step 2: Convert to fraction form
    5,135/9,613 = 9,613/x
  3. Step 3: Cross multiply
    5,135x = 9,613 × 9,613
  4. Step 4: Simplify right side
    5,135x = 92,409,769
  5. Step 5: Solve for x
    x = 92,409,769/5,135
  6. Step 6: Final answer
    x = 17,996.06

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.