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Finding the Third Proportional to 24,681 and 53,742

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Solution

The third proportional to 24,681 and 53,742 is: 117,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,681 : 53,742 = 53,742 : x
  2. Step 2: Convert to fraction form
    24,681/53,742 = 53,742/x
  3. Step 3: Cross multiply
    24,681x = 53,742 × 53,742
  4. Step 4: Simplify right side
    24,681x = 2,888,202,564
  5. Step 5: Solve for x
    x = 2,888,202,564/24,681
  6. Step 6: Final answer
    x = 117,021.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.