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Finding the Third Proportional to 15,586 and 32,898

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Solution

The third proportional to 15,586 and 32,898 is: 69,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586 : 32,898 = 32,898 : x
  2. Step 2: Convert to fraction form
    15,586/32,898 = 32,898/x
  3. Step 3: Cross multiply
    15,586x = 32,898 × 32,898
  4. Step 4: Simplify right side
    15,586x = 1,082,278,404
  5. Step 5: Solve for x
    x = 1,082,278,404/15,586
  6. Step 6: Final answer
    x = 69,439.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.