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Finding the Third Proportional to 24,971.63 and 54,545.06

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Solution

The third proportional to 24,971.63 and 54,545.06 is: 119,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,971.63 : 54,545.06 = 54,545.06 : x
  2. Step 2: Convert to fraction form
    24,971.63/54,545.06 = 54,545.06/x
  3. Step 3: Cross multiply
    24,971.63x = 54,545.06 × 54,545.06
  4. Step 4: Simplify right side
    24,971.63x = 2,975,163,843.13
  5. Step 5: Solve for x
    x = 2,975,163,843.13/24,971.63
  6. Step 6: Final answer
    x = 119,141.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.