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Finding the Third Proportional to 14,610.38 and 31,555.83

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Solution

The third proportional to 14,610.38 and 31,555.83 is: 68,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.38 : 31,555.83 = 31,555.83 : x
  2. Step 2: Convert to fraction form
    14,610.38/31,555.83 = 31,555.83/x
  3. Step 3: Cross multiply
    14,610.38x = 31,555.83 × 31,555.83
  4. Step 4: Simplify right side
    14,610.38x = 995,770,288.65
  5. Step 5: Solve for x
    x = 995,770,288.65/14,610.38
  6. Step 6: Final answer
    x = 68,155.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.