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Finding the Third Proportional to 29,057 and 61,378

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Solution

The third proportional to 29,057 and 61,378 is: 129,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,057 : 61,378 = 61,378 : x
  2. Step 2: Convert to fraction form
    29,057/61,378 = 61,378/x
  3. Step 3: Cross multiply
    29,057x = 61,378 × 61,378
  4. Step 4: Simplify right side
    29,057x = 3,767,258,884
  5. Step 5: Solve for x
    x = 3,767,258,884/29,057
  6. Step 6: Final answer
    x = 129,650.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.