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Finding the Third Proportional to 23,001.19 and 34,615.69

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Solution

The third proportional to 23,001.19 and 34,615.69 is: 52,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001.19 : 34,615.69 = 34,615.69 : x
  2. Step 2: Convert to fraction form
    23,001.19/34,615.69 = 34,615.69/x
  3. Step 3: Cross multiply
    23,001.19x = 34,615.69 × 34,615.69
  4. Step 4: Simplify right side
    23,001.19x = 1,198,245,821.10
  5. Step 5: Solve for x
    x = 1,198,245,821.10/23,001.19
  6. Step 6: Final answer
    x = 52,094.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.