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Finding the Third Proportional to 24,431 and 53,551

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Solution

The third proportional to 24,431 and 53,551 is: 117,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,431 : 53,551 = 53,551 : x
  2. Step 2: Convert to fraction form
    24,431/53,551 = 53,551/x
  3. Step 3: Cross multiply
    24,431x = 53,551 × 53,551
  4. Step 4: Simplify right side
    24,431x = 2,867,709,601
  5. Step 5: Solve for x
    x = 2,867,709,601/24,431
  6. Step 6: Final answer
    x = 117,379.95

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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.