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Finding the Third Proportional to 29,297 and 62,086

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Solution

The third proportional to 29,297 and 62,086 is: 131,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,297 : 62,086 = 62,086 : x
  2. Step 2: Convert to fraction form
    29,297/62,086 = 62,086/x
  3. Step 3: Cross multiply
    29,297x = 62,086 × 62,086
  4. Step 4: Simplify right side
    29,297x = 3,854,671,396
  5. Step 5: Solve for x
    x = 3,854,671,396/29,297
  6. Step 6: Final answer
    x = 131,572.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.