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Finding the Third Proportional to 20,127 and 44,265

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Solution

The third proportional to 20,127 and 44,265 is: 97,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127 : 44,265 = 44,265 : x
  2. Step 2: Convert to fraction form
    20,127/44,265 = 44,265/x
  3. Step 3: Cross multiply
    20,127x = 44,265 × 44,265
  4. Step 4: Simplify right side
    20,127x = 1,959,390,225
  5. Step 5: Solve for x
    x = 1,959,390,225/20,127
  6. Step 6: Final answer
    x = 97,351.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.