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Finding the Third Proportional to 8,984 and 20,780

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Solution

The third proportional to 8,984 and 20,780 is: 48,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984 : 20,780 = 20,780 : x
  2. Step 2: Convert to fraction form
    8,984/20,780 = 20,780/x
  3. Step 3: Cross multiply
    8,984x = 20,780 × 20,780
  4. Step 4: Simplify right side
    8,984x = 431,808,400
  5. Step 5: Solve for x
    x = 431,808,400/8,984
  6. Step 6: Final answer
    x = 48,064.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.