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Finding the Third Proportional to 8,434 and 12,147.50

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Solution

The third proportional to 8,434 and 12,147.50 is: 17,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434 : 12,147.50 = 12,147.50 : x
  2. Step 2: Convert to fraction form
    8,434/12,147.50 = 12,147.50/x
  3. Step 3: Cross multiply
    8,434x = 12,147.50 × 12,147.50
  4. Step 4: Simplify right side
    8,434x = 147,561,756.25
  5. Step 5: Solve for x
    x = 147,561,756.25/8,434
  6. Step 6: Final answer
    x = 17,496.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.