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Finding the Third Proportional to 5,119.88 and 7,954.88

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Solution

The third proportional to 5,119.88 and 7,954.88 is: 12,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.88 : 7,954.88 = 7,954.88 : x
  2. Step 2: Convert to fraction form
    5,119.88/7,954.88 = 7,954.88/x
  3. Step 3: Cross multiply
    5,119.88x = 7,954.88 × 7,954.88
  4. Step 4: Simplify right side
    5,119.88x = 63,280,036.27
  5. Step 5: Solve for x
    x = 63,280,036.27/5,119.88
  6. Step 6: Final answer
    x = 12,359.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.