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Finding the Third Proportional to 2,962 and 4,587

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Solution

The third proportional to 2,962 and 4,587 is: 7,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962 : 4,587 = 4,587 : x
  2. Step 2: Convert to fraction form
    2,962/4,587 = 4,587/x
  3. Step 3: Cross multiply
    2,962x = 4,587 × 4,587
  4. Step 4: Simplify right side
    2,962x = 21,040,569
  5. Step 5: Solve for x
    x = 21,040,569/2,962
  6. Step 6: Final answer
    x = 7,103.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.