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Finding the Third Proportional to 10,569 and 15,820

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Solution

The third proportional to 10,569 and 15,820 is: 23,679.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569 : 15,820 = 15,820 : x
  2. Step 2: Convert to fraction form
    10,569/15,820 = 15,820/x
  3. Step 3: Cross multiply
    10,569x = 15,820 × 15,820
  4. Step 4: Simplify right side
    10,569x = 250,272,400
  5. Step 5: Solve for x
    x = 250,272,400/10,569
  6. Step 6: Final answer
    x = 23,679.86

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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.