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Finding the Third Proportional to 22,480 and 30,000

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Solution

The third proportional to 22,480 and 30,000 is: 40,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480 : 30,000 = 30,000 : x
  2. Step 2: Convert to fraction form
    22,480/30,000 = 30,000/x
  3. Step 3: Cross multiply
    22,480x = 30,000 × 30,000
  4. Step 4: Simplify right side
    22,480x = 900,000,000
  5. Step 5: Solve for x
    x = 900,000,000/22,480
  6. Step 6: Final answer
    x = 40,035.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.