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Finding the Third Proportional to 24,569 and 53,017

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Solution

The third proportional to 24,569 and 53,017 is: 114,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569 : 53,017 = 53,017 : x
  2. Step 2: Convert to fraction form
    24,569/53,017 = 53,017/x
  3. Step 3: Cross multiply
    24,569x = 53,017 × 53,017
  4. Step 4: Simplify right side
    24,569x = 2,810,802,289
  5. Step 5: Solve for x
    x = 2,810,802,289/24,569
  6. Step 6: Final answer
    x = 114,404.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.