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Finding the Third Proportional to 27,844.50 and 43,085.63

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Solution

The third proportional to 27,844.50 and 43,085.63 is: 66,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.50 : 43,085.63 = 43,085.63 : x
  2. Step 2: Convert to fraction form
    27,844.50/43,085.63 = 43,085.63/x
  3. Step 3: Cross multiply
    27,844.50x = 43,085.63 × 43,085.63
  4. Step 4: Simplify right side
    27,844.50x = 1,856,371,081.64
  5. Step 5: Solve for x
    x = 1,856,371,081.64/27,844.50
  6. Step 6: Final answer
    x = 66,669.22

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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.