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Finding the Third Proportional to 29,037 and 61,869

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Solution

The third proportional to 29,037 and 61,869 is: 131,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,037 : 61,869 = 61,869 : x
  2. Step 2: Convert to fraction form
    29,037/61,869 = 61,869/x
  3. Step 3: Cross multiply
    29,037x = 61,869 × 61,869
  4. Step 4: Simplify right side
    29,037x = 3,827,773,161
  5. Step 5: Solve for x
    x = 3,827,773,161/29,037
  6. Step 6: Final answer
    x = 131,823.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.