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Finding the Third Proportional to 6,521 and 9,758

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Solution

The third proportional to 6,521 and 9,758 is: 14,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521 : 9,758 = 9,758 : x
  2. Step 2: Convert to fraction form
    6,521/9,758 = 9,758/x
  3. Step 3: Cross multiply
    6,521x = 9,758 × 9,758
  4. Step 4: Simplify right side
    6,521x = 95,218,564
  5. Step 5: Solve for x
    x = 95,218,564/6,521
  6. Step 6: Final answer
    x = 14,601.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.