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Finding the Third Proportional to 20,292 and 30,502

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Solution

The third proportional to 20,292 and 30,502 is: 45,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,292 : 30,502 = 30,502 : x
  2. Step 2: Convert to fraction form
    20,292/30,502 = 30,502/x
  3. Step 3: Cross multiply
    20,292x = 30,502 × 30,502
  4. Step 4: Simplify right side
    20,292x = 930,372,004
  5. Step 5: Solve for x
    x = 930,372,004/20,292
  6. Step 6: Final answer
    x = 45,849.20

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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.