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Finding the Third Proportional to 20,275 and 44,545

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Solution

The third proportional to 20,275 and 44,545 is: 97,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275 : 44,545 = 44,545 : x
  2. Step 2: Convert to fraction form
    20,275/44,545 = 44,545/x
  3. Step 3: Cross multiply
    20,275x = 44,545 × 44,545
  4. Step 4: Simplify right side
    20,275x = 1,984,257,025
  5. Step 5: Solve for x
    x = 1,984,257,025/20,275
  6. Step 6: Final answer
    x = 97,867.18

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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.