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Finding the Third Proportional to 29,062 and 61,388

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Solution

The third proportional to 29,062 and 61,388 is: 129,670.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,062 : 61,388 = 61,388 : x
  2. Step 2: Convert to fraction form
    29,062/61,388 = 61,388/x
  3. Step 3: Cross multiply
    29,062x = 61,388 × 61,388
  4. Step 4: Simplify right side
    29,062x = 3,768,486,544
  5. Step 5: Solve for x
    x = 3,768,486,544/29,062
  6. Step 6: Final answer
    x = 129,670.59

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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.