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Finding the Third Proportional to 29,492 and 61,714

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Solution

The third proportional to 29,492 and 61,714 is: 129,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,492 : 61,714 = 61,714 : x
  2. Step 2: Convert to fraction form
    29,492/61,714 = 61,714/x
  3. Step 3: Cross multiply
    29,492x = 61,714 × 61,714
  4. Step 4: Simplify right side
    29,492x = 3,808,617,796
  5. Step 5: Solve for x
    x = 3,808,617,796/29,492
  6. Step 6: Final answer
    x = 129,140.71

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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.