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Finding the Third Proportional to 20,076 and 31,226

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Solution

The third proportional to 20,076 and 31,226 is: 48,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 31,226 = 31,226 : x
  2. Step 2: Convert to fraction form
    20,076/31,226 = 31,226/x
  3. Step 3: Cross multiply
    20,076x = 31,226 × 31,226
  4. Step 4: Simplify right side
    20,076x = 975,063,076
  5. Step 5: Solve for x
    x = 975,063,076/20,076
  6. Step 6: Final answer
    x = 48,568.59

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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.