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Finding the Third Proportional to 5,501.67 and 12,014.26

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Solution

The third proportional to 5,501.67 and 12,014.26 is: 26,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,501.67 : 12,014.26 = 12,014.26 : x
  2. Step 2: Convert to fraction form
    5,501.67/12,014.26 = 12,014.26/x
  3. Step 3: Cross multiply
    5,501.67x = 12,014.26 × 12,014.26
  4. Step 4: Simplify right side
    5,501.67x = 144,342,484.65
  5. Step 5: Solve for x
    x = 144,342,484.65/5,501.67
  6. Step 6: Final answer
    x = 26,236.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.