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Finding the Third Proportional to 30,000.38 and 45,233.44

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Solution

The third proportional to 30,000.38 and 45,233.44 is: 68,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.38 : 45,233.44 = 45,233.44 : x
  2. Step 2: Convert to fraction form
    30,000.38/45,233.44 = 45,233.44/x
  3. Step 3: Cross multiply
    30,000.38x = 45,233.44 × 45,233.44
  4. Step 4: Simplify right side
    30,000.38x = 2,046,063,868.07
  5. Step 5: Solve for x
    x = 2,046,063,868.07/30,000.38
  6. Step 6: Final answer
    x = 68,201.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.