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Finding the Third Proportional to 3,472.72 and 4,959.19

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Solution

The third proportional to 3,472.72 and 4,959.19 is: 7,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.72 : 4,959.19 = 4,959.19 : x
  2. Step 2: Convert to fraction form
    3,472.72/4,959.19 = 4,959.19/x
  3. Step 3: Cross multiply
    3,472.72x = 4,959.19 × 4,959.19
  4. Step 4: Simplify right side
    3,472.72x = 24,593,598.78
  5. Step 5: Solve for x
    x = 24,593,598.78/3,472.72
  6. Step 6: Final answer
    x = 7,081.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.