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Finding the Third Proportional to 20,924 and 31,433

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Solution

The third proportional to 20,924 and 31,433 is: 47,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924 : 31,433 = 31,433 : x
  2. Step 2: Convert to fraction form
    20,924/31,433 = 31,433/x
  3. Step 3: Cross multiply
    20,924x = 31,433 × 31,433
  4. Step 4: Simplify right side
    20,924x = 988,033,489
  5. Step 5: Solve for x
    x = 988,033,489/20,924
  6. Step 6: Final answer
    x = 47,220.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.