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Finding the Third Proportional to 15,589.97 and 34,199.72

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Solution

The third proportional to 15,589.97 and 34,199.72 is: 75,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.97 : 34,199.72 = 34,199.72 : x
  2. Step 2: Convert to fraction form
    15,589.97/34,199.72 = 34,199.72/x
  3. Step 3: Cross multiply
    15,589.97x = 34,199.72 × 34,199.72
  4. Step 4: Simplify right side
    15,589.97x = 1,169,620,762.58
  5. Step 5: Solve for x
    x = 1,169,620,762.58/15,589.97
  6. Step 6: Final answer
    x = 75,023.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.