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Finding the Third Proportional to 20,478 and 44,769

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Solution

The third proportional to 20,478 and 44,769 is: 97,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478 : 44,769 = 44,769 : x
  2. Step 2: Convert to fraction form
    20,478/44,769 = 44,769/x
  3. Step 3: Cross multiply
    20,478x = 44,769 × 44,769
  4. Step 4: Simplify right side
    20,478x = 2,004,263,361
  5. Step 5: Solve for x
    x = 2,004,263,361/20,478
  6. Step 6: Final answer
    x = 97,873.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.