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Finding the Third Proportional to 5,125.78 and 10,957.78

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Solution

The third proportional to 5,125.78 and 10,957.78 is: 23,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.78 : 10,957.78 = 10,957.78 : x
  2. Step 2: Convert to fraction form
    5,125.78/10,957.78 = 10,957.78/x
  3. Step 3: Cross multiply
    5,125.78x = 10,957.78 × 10,957.78
  4. Step 4: Simplify right side
    5,125.78x = 120,072,969.92
  5. Step 5: Solve for x
    x = 120,072,969.92/5,125.78
  6. Step 6: Final answer
    x = 23,425.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.