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Finding the Third Proportional to 27,542.25 and 56,714.63

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Solution

The third proportional to 27,542.25 and 56,714.63 is: 116,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.25 : 56,714.63 = 56,714.63 : x
  2. Step 2: Convert to fraction form
    27,542.25/56,714.63 = 56,714.63/x
  3. Step 3: Cross multiply
    27,542.25x = 56,714.63 × 56,714.63
  4. Step 4: Simplify right side
    27,542.25x = 3,216,548,688.89
  5. Step 5: Solve for x
    x = 3,216,548,688.89/27,542.25
  6. Step 6: Final answer
    x = 116,785.98

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.