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Finding the Third Proportional to 5,452.50 and 12,139

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Solution

The third proportional to 5,452.50 and 12,139 is: 27,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,452.50 : 12,139 = 12,139 : x
  2. Step 2: Convert to fraction form
    5,452.50/12,139 = 12,139/x
  3. Step 3: Cross multiply
    5,452.50x = 12,139 × 12,139
  4. Step 4: Simplify right side
    5,452.50x = 147,355,321
  5. Step 5: Solve for x
    x = 147,355,321/5,452.50
  6. Step 6: Final answer
    x = 27,025.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.