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Finding the Third Proportional to 30,162.38 and 47,800.13

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Solution

The third proportional to 30,162.38 and 47,800.13 is: 75,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,162.38 : 47,800.13 = 47,800.13 : x
  2. Step 2: Convert to fraction form
    30,162.38/47,800.13 = 47,800.13/x
  3. Step 3: Cross multiply
    30,162.38x = 47,800.13 × 47,800.13
  4. Step 4: Simplify right side
    30,162.38x = 2,284,851,950.02
  5. Step 5: Solve for x
    x = 2,284,851,950.02/30,162.38
  6. Step 6: Final answer
    x = 75,751.73

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.