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Finding the Third Proportional to 4,376 and 9,569

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Solution

The third proportional to 4,376 and 9,569 is: 20,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376 : 9,569 = 9,569 : x
  2. Step 2: Convert to fraction form
    4,376/9,569 = 9,569/x
  3. Step 3: Cross multiply
    4,376x = 9,569 × 9,569
  4. Step 4: Simplify right side
    4,376x = 91,565,761
  5. Step 5: Solve for x
    x = 91,565,761/4,376
  6. Step 6: Final answer
    x = 20,924.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.