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Finding the Third Proportional to 25,920 and 54,606.66

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Solution

The third proportional to 25,920 and 54,606.66 is: 115,041.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920 : 54,606.66 = 54,606.66 : x
  2. Step 2: Convert to fraction form
    25,920/54,606.66 = 54,606.66/x
  3. Step 3: Cross multiply
    25,920x = 54,606.66 × 54,606.66
  4. Step 4: Simplify right side
    25,920x = 2,981,886,906.81
  5. Step 5: Solve for x
    x = 2,981,886,906.81/25,920
  6. Step 6: Final answer
    x = 115,041.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.