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Finding the Third Proportional to 27,648.42 and 41,701.92

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Solution

The third proportional to 27,648.42 and 41,701.92 is: 62,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.42 : 41,701.92 = 41,701.92 : x
  2. Step 2: Convert to fraction form
    27,648.42/41,701.92 = 41,701.92/x
  3. Step 3: Cross multiply
    27,648.42x = 41,701.92 × 41,701.92
  4. Step 4: Simplify right side
    27,648.42x = 1,739,050,288.07
  5. Step 5: Solve for x
    x = 1,739,050,288.07/27,648.42
  6. Step 6: Final answer
    x = 62,898.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.