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Finding the Third Proportional to 12,094.17 and 25,657.78

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Solution

The third proportional to 12,094.17 and 25,657.78 is: 54,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.17 : 25,657.78 = 25,657.78 : x
  2. Step 2: Convert to fraction form
    12,094.17/25,657.78 = 25,657.78/x
  3. Step 3: Cross multiply
    12,094.17x = 25,657.78 × 25,657.78
  4. Step 4: Simplify right side
    12,094.17x = 658,321,738.67
  5. Step 5: Solve for x
    x = 658,321,738.67/12,094.17
  6. Step 6: Final answer
    x = 54,432.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.