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Finding the Third Proportional to 4,988 and 12,002

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Solution

The third proportional to 4,988 and 12,002 is: 28,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988 : 12,002 = 12,002 : x
  2. Step 2: Convert to fraction form
    4,988/12,002 = 12,002/x
  3. Step 3: Cross multiply
    4,988x = 12,002 × 12,002
  4. Step 4: Simplify right side
    4,988x = 144,048,004
  5. Step 5: Solve for x
    x = 144,048,004/4,988
  6. Step 6: Final answer
    x = 28,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.