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Finding the Third Proportional to 14,656 and 33,742

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Solution

The third proportional to 14,656 and 33,742 is: 77,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656 : 33,742 = 33,742 : x
  2. Step 2: Convert to fraction form
    14,656/33,742 = 33,742/x
  3. Step 3: Cross multiply
    14,656x = 33,742 × 33,742
  4. Step 4: Simplify right side
    14,656x = 1,138,522,564
  5. Step 5: Solve for x
    x = 1,138,522,564/14,656
  6. Step 6: Final answer
    x = 77,683.04

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.