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Finding the Third Proportional to 20,262 and 30,312

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Solution

The third proportional to 20,262 and 30,312 is: 45,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,262 : 30,312 = 30,312 : x
  2. Step 2: Convert to fraction form
    20,262/30,312 = 30,312/x
  3. Step 3: Cross multiply
    20,262x = 30,312 × 30,312
  4. Step 4: Simplify right side
    20,262x = 918,817,344
  5. Step 5: Solve for x
    x = 918,817,344/20,262
  6. Step 6: Final answer
    x = 45,346.82

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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.