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Finding the Third Proportional to 24,442 and 53,554

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Solution

The third proportional to 24,442 and 53,554 is: 117,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442 : 53,554 = 53,554 : x
  2. Step 2: Convert to fraction form
    24,442/53,554 = 53,554/x
  3. Step 3: Cross multiply
    24,442x = 53,554 × 53,554
  4. Step 4: Simplify right side
    24,442x = 2,868,030,916
  5. Step 5: Solve for x
    x = 2,868,030,916/24,442
  6. Step 6: Final answer
    x = 117,340.27

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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.