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Finding the Third Proportional to 20,416 and 44,478

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Solution

The third proportional to 20,416 and 44,478 is: 96,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,416 : 44,478 = 44,478 : x
  2. Step 2: Convert to fraction form
    20,416/44,478 = 44,478/x
  3. Step 3: Cross multiply
    20,416x = 44,478 × 44,478
  4. Step 4: Simplify right side
    20,416x = 1,978,292,484
  5. Step 5: Solve for x
    x = 1,978,292,484/20,416
  6. Step 6: Final answer
    x = 96,899.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.