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Finding the Third Proportional to 22,862.25 and 30,343.50

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Solution

The third proportional to 22,862.25 and 30,343.50 is: 40,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,862.25 : 30,343.50 = 30,343.50 : x
  2. Step 2: Convert to fraction form
    22,862.25/30,343.50 = 30,343.50/x
  3. Step 3: Cross multiply
    22,862.25x = 30,343.50 × 30,343.50
  4. Step 4: Simplify right side
    22,862.25x = 920,727,992.25
  5. Step 5: Solve for x
    x = 920,727,992.25/22,862.25
  6. Step 6: Final answer
    x = 40,272.85

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Why These Related Problems?

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