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Finding the Third Proportional to 4,920 and 7,984

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Solution

The third proportional to 4,920 and 7,984 is: 12,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920 : 7,984 = 7,984 : x
  2. Step 2: Convert to fraction form
    4,920/7,984 = 7,984/x
  3. Step 3: Cross multiply
    4,920x = 7,984 × 7,984
  4. Step 4: Simplify right side
    4,920x = 63,744,256
  5. Step 5: Solve for x
    x = 63,744,256/4,920
  6. Step 6: Final answer
    x = 12,956.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.