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Finding the Third Proportional to 27,772.13 and 43,015.13

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Solution

The third proportional to 27,772.13 and 43,015.13 is: 66,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.13 : 43,015.13 = 43,015.13 : x
  2. Step 2: Convert to fraction form
    27,772.13/43,015.13 = 43,015.13/x
  3. Step 3: Cross multiply
    27,772.13x = 43,015.13 × 43,015.13
  4. Step 4: Simplify right side
    27,772.13x = 1,850,300,978.77
  5. Step 5: Solve for x
    x = 1,850,300,978.77/27,772.13
  6. Step 6: Final answer
    x = 66,624.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.