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Finding the Third Proportional to 20,900 and 45,484

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Solution

The third proportional to 20,900 and 45,484 is: 98,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900 : 45,484 = 45,484 : x
  2. Step 2: Convert to fraction form
    20,900/45,484 = 45,484/x
  3. Step 3: Cross multiply
    20,900x = 45,484 × 45,484
  4. Step 4: Simplify right side
    20,900x = 2,068,794,256
  5. Step 5: Solve for x
    x = 2,068,794,256/20,900
  6. Step 6: Final answer
    x = 98,985.37

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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.