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Finding the Third Proportional to 27,802.13 and 43,081.59

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Solution

The third proportional to 27,802.13 and 43,081.59 is: 66,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.13 : 43,081.59 = 43,081.59 : x
  2. Step 2: Convert to fraction form
    27,802.13/43,081.59 = 43,081.59/x
  3. Step 3: Cross multiply
    27,802.13x = 43,081.59 × 43,081.59
  4. Step 4: Simplify right side
    27,802.13x = 1,856,023,720.04
  5. Step 5: Solve for x
    x = 1,856,023,720.04/27,802.13
  6. Step 6: Final answer
    x = 66,758.34

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