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Finding the Third Proportional to 20,461 and 31,596

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Solution

The third proportional to 20,461 and 31,596 is: 48,790.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,461 : 31,596 = 31,596 : x
  2. Step 2: Convert to fraction form
    20,461/31,596 = 31,596/x
  3. Step 3: Cross multiply
    20,461x = 31,596 × 31,596
  4. Step 4: Simplify right side
    20,461x = 998,307,216
  5. Step 5: Solve for x
    x = 998,307,216/20,461
  6. Step 6: Final answer
    x = 48,790.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.