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Finding the Third Proportional to 1,634 and 3,548

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Solution

The third proportional to 1,634 and 3,548 is: 7,703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634 : 3,548 = 3,548 : x
  2. Step 2: Convert to fraction form
    1,634/3,548 = 3,548/x
  3. Step 3: Cross multiply
    1,634x = 3,548 × 3,548
  4. Step 4: Simplify right side
    1,634x = 12,588,304
  5. Step 5: Solve for x
    x = 12,588,304/1,634
  6. Step 6: Final answer
    x = 7,703.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.