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Finding the Third Proportional to 20,074 and 31,223

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Solution

The third proportional to 20,074 and 31,223 is: 48,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,074 : 31,223 = 31,223 : x
  2. Step 2: Convert to fraction form
    20,074/31,223 = 31,223/x
  3. Step 3: Cross multiply
    20,074x = 31,223 × 31,223
  4. Step 4: Simplify right side
    20,074x = 974,875,729
  5. Step 5: Solve for x
    x = 974,875,729/20,074
  6. Step 6: Final answer
    x = 48,564.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.