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Finding the Third Proportional to 29,024 and 60,560

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Solution

The third proportional to 29,024 and 60,560 is: 126,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,024 : 60,560 = 60,560 : x
  2. Step 2: Convert to fraction form
    29,024/60,560 = 60,560/x
  3. Step 3: Cross multiply
    29,024x = 60,560 × 60,560
  4. Step 4: Simplify right side
    29,024x = 3,667,513,600
  5. Step 5: Solve for x
    x = 3,667,513,600/29,024
  6. Step 6: Final answer
    x = 126,361.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.