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Finding the Third Proportional to 29,042 and 40,898

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Solution

The third proportional to 29,042 and 40,898 is: 57,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,042 : 40,898 = 40,898 : x
  2. Step 2: Convert to fraction form
    29,042/40,898 = 40,898/x
  3. Step 3: Cross multiply
    29,042x = 40,898 × 40,898
  4. Step 4: Simplify right side
    29,042x = 1,672,646,404
  5. Step 5: Solve for x
    x = 1,672,646,404/29,042
  6. Step 6: Final answer
    x = 57,594.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.