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Finding the Third Proportional to 2,080 and 3,548

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Solution

The third proportional to 2,080 and 3,548 is: 6,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 3,548 = 3,548 : x
  2. Step 2: Convert to fraction form
    2,080/3,548 = 3,548/x
  3. Step 3: Cross multiply
    2,080x = 3,548 × 3,548
  4. Step 4: Simplify right side
    2,080x = 12,588,304
  5. Step 5: Solve for x
    x = 12,588,304/2,080
  6. Step 6: Final answer
    x = 6,052.07

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.