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Finding the Third Proportional to 29,540 and 42,190

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Solution

The third proportional to 29,540 and 42,190 is: 60,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,540 : 42,190 = 42,190 : x
  2. Step 2: Convert to fraction form
    29,540/42,190 = 42,190/x
  3. Step 3: Cross multiply
    29,540x = 42,190 × 42,190
  4. Step 4: Simplify right side
    29,540x = 1,779,996,100
  5. Step 5: Solve for x
    x = 1,779,996,100/29,540
  6. Step 6: Final answer
    x = 60,257.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.