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Finding the Third Proportional to 2,472 and 4,620

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Solution

The third proportional to 2,472 and 4,620 is: 8,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 4,620 = 4,620 : x
  2. Step 2: Convert to fraction form
    2,472/4,620 = 4,620/x
  3. Step 3: Cross multiply
    2,472x = 4,620 × 4,620
  4. Step 4: Simplify right side
    2,472x = 21,344,400
  5. Step 5: Solve for x
    x = 21,344,400/2,472
  6. Step 6: Final answer
    x = 8,634.47

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.