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Finding the Third Proportional to 2,712.94 and 4,348.69

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Solution

The third proportional to 2,712.94 and 4,348.69 is: 6,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.94 : 4,348.69 = 4,348.69 : x
  2. Step 2: Convert to fraction form
    2,712.94/4,348.69 = 4,348.69/x
  3. Step 3: Cross multiply
    2,712.94x = 4,348.69 × 4,348.69
  4. Step 4: Simplify right side
    2,712.94x = 18,911,082.97
  5. Step 5: Solve for x
    x = 18,911,082.97/2,712.94
  6. Step 6: Final answer
    x = 6,970.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.