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Finding the Third Proportional to 15,344.91 and 23,074.41

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Solution

The third proportional to 15,344.91 and 23,074.41 is: 34,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344.91 : 23,074.41 = 23,074.41 : x
  2. Step 2: Convert to fraction form
    15,344.91/23,074.41 = 23,074.41/x
  3. Step 3: Cross multiply
    15,344.91x = 23,074.41 × 23,074.41
  4. Step 4: Simplify right side
    15,344.91x = 532,428,223.79
  5. Step 5: Solve for x
    x = 532,428,223.79/15,344.91
  6. Step 6: Final answer
    x = 34,697.39

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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.