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Finding the Third Proportional to 8,709 and 12,449.25

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Solution

The third proportional to 8,709 and 12,449.25 is: 17,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709 : 12,449.25 = 12,449.25 : x
  2. Step 2: Convert to fraction form
    8,709/12,449.25 = 12,449.25/x
  3. Step 3: Cross multiply
    8,709x = 12,449.25 × 12,449.25
  4. Step 4: Simplify right side
    8,709x = 154,983,825.56
  5. Step 5: Solve for x
    x = 154,983,825.56/8,709
  6. Step 6: Final answer
    x = 17,795.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.