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Finding the Third Proportional to 20,394 and 31,765

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Solution

The third proportional to 20,394 and 31,765 is: 49,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,394 : 31,765 = 31,765 : x
  2. Step 2: Convert to fraction form
    20,394/31,765 = 31,765/x
  3. Step 3: Cross multiply
    20,394x = 31,765 × 31,765
  4. Step 4: Simplify right side
    20,394x = 1,009,015,225
  5. Step 5: Solve for x
    x = 1,009,015,225/20,394
  6. Step 6: Final answer
    x = 49,476.08

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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.