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Finding the Third Proportional to 13,149 and 24,202.13

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Solution

The third proportional to 13,149 and 24,202.13 is: 44,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 24,202.13 = 24,202.13 : x
  2. Step 2: Convert to fraction form
    13,149/24,202.13 = 24,202.13/x
  3. Step 3: Cross multiply
    13,149x = 24,202.13 × 24,202.13
  4. Step 4: Simplify right side
    13,149x = 585,742,854.52
  5. Step 5: Solve for x
    x = 585,742,854.52/13,149
  6. Step 6: Final answer
    x = 44,546.57

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.