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Finding the Third Proportional to 9,897 and 22,569

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Solution

The third proportional to 9,897 and 22,569 is: 51,466.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897 : 22,569 = 22,569 : x
  2. Step 2: Convert to fraction form
    9,897/22,569 = 22,569/x
  3. Step 3: Cross multiply
    9,897x = 22,569 × 22,569
  4. Step 4: Simplify right side
    9,897x = 509,359,761
  5. Step 5: Solve for x
    x = 509,359,761/9,897
  6. Step 6: Final answer
    x = 51,466.08

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.