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Finding the Third Proportional to 6,502 and 9,613

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Solution

The third proportional to 6,502 and 9,613 is: 14,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502 : 9,613 = 9,613 : x
  2. Step 2: Convert to fraction form
    6,502/9,613 = 9,613/x
  3. Step 3: Cross multiply
    6,502x = 9,613 × 9,613
  4. Step 4: Simplify right side
    6,502x = 92,409,769
  5. Step 5: Solve for x
    x = 92,409,769/6,502
  6. Step 6: Final answer
    x = 14,212.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.