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Finding the Third Proportional to 29,294 and 45,398

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Solution

The third proportional to 29,294 and 45,398 is: 70,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294 : 45,398 = 45,398 : x
  2. Step 2: Convert to fraction form
    29,294/45,398 = 45,398/x
  3. Step 3: Cross multiply
    29,294x = 45,398 × 45,398
  4. Step 4: Simplify right side
    29,294x = 2,060,978,404
  5. Step 5: Solve for x
    x = 2,060,978,404/29,294
  6. Step 6: Final answer
    x = 70,354.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.