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Finding the Third Proportional to 3,496 and 6,587

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Solution

The third proportional to 3,496 and 6,587 is: 12,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496 : 6,587 = 6,587 : x
  2. Step 2: Convert to fraction form
    3,496/6,587 = 6,587/x
  3. Step 3: Cross multiply
    3,496x = 6,587 × 6,587
  4. Step 4: Simplify right side
    3,496x = 43,388,569
  5. Step 5: Solve for x
    x = 43,388,569/3,496
  6. Step 6: Final answer
    x = 12,410.92

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.