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Finding the Third Proportional to 7,540.59 and 16,379.72

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Solution

The third proportional to 7,540.59 and 16,379.72 is: 35,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.59 : 16,379.72 = 16,379.72 : x
  2. Step 2: Convert to fraction form
    7,540.59/16,379.72 = 16,379.72/x
  3. Step 3: Cross multiply
    7,540.59x = 16,379.72 × 16,379.72
  4. Step 4: Simplify right side
    7,540.59x = 268,295,186.33
  5. Step 5: Solve for x
    x = 268,295,186.33/7,540.59
  6. Step 6: Final answer
    x = 35,580.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.