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Finding the Third Proportional to 12,096.84 and 25,560.56

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Solution

The third proportional to 12,096.84 and 25,560.56 is: 54,009.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.84 : 25,560.56 = 25,560.56 : x
  2. Step 2: Convert to fraction form
    12,096.84/25,560.56 = 25,560.56/x
  3. Step 3: Cross multiply
    12,096.84x = 25,560.56 × 25,560.56
  4. Step 4: Simplify right side
    12,096.84x = 653,342,355.32
  5. Step 5: Solve for x
    x = 653,342,355.32/12,096.84
  6. Step 6: Final answer
    x = 54,009.32

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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.