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Finding the Third Proportional to 2,596 and 2,948

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Solution

The third proportional to 2,596 and 2,948 is: 3,347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596 : 2,948 = 2,948 : x
  2. Step 2: Convert to fraction form
    2,596/2,948 = 2,948/x
  3. Step 3: Cross multiply
    2,596x = 2,948 × 2,948
  4. Step 4: Simplify right side
    2,596x = 8,690,704
  5. Step 5: Solve for x
    x = 8,690,704/2,596
  6. Step 6: Final answer
    x = 3,347.73

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.