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Finding the Third Proportional to 5,815.13 and 12,040.31

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Solution

The third proportional to 5,815.13 and 12,040.31 is: 24,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.13 : 12,040.31 = 12,040.31 : x
  2. Step 2: Convert to fraction form
    5,815.13/12,040.31 = 12,040.31/x
  3. Step 3: Cross multiply
    5,815.13x = 12,040.31 × 12,040.31
  4. Step 4: Simplify right side
    5,815.13x = 144,969,125.10
  5. Step 5: Solve for x
    x = 144,969,125.10/5,815.13
  6. Step 6: Final answer
    x = 24,929.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.