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Finding the Third Proportional to 23,095.13 and 49,789.69

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Solution

The third proportional to 23,095.13 and 49,789.69 is: 107,339.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,095.13 : 49,789.69 = 49,789.69 : x
  2. Step 2: Convert to fraction form
    23,095.13/49,789.69 = 49,789.69/x
  3. Step 3: Cross multiply
    23,095.13x = 49,789.69 × 49,789.69
  4. Step 4: Simplify right side
    23,095.13x = 2,479,012,981.35
  5. Step 5: Solve for x
    x = 2,479,012,981.35/23,095.13
  6. Step 6: Final answer
    x = 107,339.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.