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Finding the Third Proportional to 20,076 and 31,211

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Solution

The third proportional to 20,076 and 31,211 is: 48,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 31,211 = 31,211 : x
  2. Step 2: Convert to fraction form
    20,076/31,211 = 31,211/x
  3. Step 3: Cross multiply
    20,076x = 31,211 × 31,211
  4. Step 4: Simplify right side
    20,076x = 974,126,521
  5. Step 5: Solve for x
    x = 974,126,521/20,076
  6. Step 6: Final answer
    x = 48,521.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.