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Finding the Third Proportional to 27,714 and 61,260

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Solution

The third proportional to 27,714 and 61,260 is: 135,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714 : 61,260 = 61,260 : x
  2. Step 2: Convert to fraction form
    27,714/61,260 = 61,260/x
  3. Step 3: Cross multiply
    27,714x = 61,260 × 61,260
  4. Step 4: Simplify right side
    27,714x = 3,752,787,600
  5. Step 5: Solve for x
    x = 3,752,787,600/27,714
  6. Step 6: Final answer
    x = 135,411.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.