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Finding the Third Proportional to 20,984 and 44,776

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Solution

The third proportional to 20,984 and 44,776 is: 95,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 44,776 = 44,776 : x
  2. Step 2: Convert to fraction form
    20,984/44,776 = 44,776/x
  3. Step 3: Cross multiply
    20,984x = 44,776 × 44,776
  4. Step 4: Simplify right side
    20,984x = 2,004,890,176
  5. Step 5: Solve for x
    x = 2,004,890,176/20,984
  6. Step 6: Final answer
    x = 95,543.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.