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Finding the Third Proportional to 27,714.66 and 62,828.16

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Solution

The third proportional to 27,714.66 and 62,828.16 is: 142,429.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.66 : 62,828.16 = 62,828.16 : x
  2. Step 2: Convert to fraction form
    27,714.66/62,828.16 = 62,828.16/x
  3. Step 3: Cross multiply
    27,714.66x = 62,828.16 × 62,828.16
  4. Step 4: Simplify right side
    27,714.66x = 3,947,377,217.77
  5. Step 5: Solve for x
    x = 3,947,377,217.77/27,714.66
  6. Step 6: Final answer
    x = 142,429.23

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.