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Finding the Third Proportional to 27,714.75 and 62,827.88

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Solution

The third proportional to 27,714.75 and 62,827.88 is: 142,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.75 : 62,827.88 = 62,827.88 : x
  2. Step 2: Convert to fraction form
    27,714.75/62,827.88 = 62,827.88/x
  3. Step 3: Cross multiply
    27,714.75x = 62,827.88 × 62,827.88
  4. Step 4: Simplify right side
    27,714.75x = 3,947,341,877.02
  5. Step 5: Solve for x
    x = 3,947,341,877.02/27,714.75
  6. Step 6: Final answer
    x = 142,427.48

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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.