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Finding the Third Proportional to 29,134 and 42,742

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Solution

The third proportional to 29,134 and 42,742 is: 62,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134 : 42,742 = 42,742 : x
  2. Step 2: Convert to fraction form
    29,134/42,742 = 42,742/x
  3. Step 3: Cross multiply
    29,134x = 42,742 × 42,742
  4. Step 4: Simplify right side
    29,134x = 1,826,878,564
  5. Step 5: Solve for x
    x = 1,826,878,564/29,134
  6. Step 6: Final answer
    x = 62,706.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.