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Finding the Third Proportional to 5,605 and 12,259

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Solution

The third proportional to 5,605 and 12,259 is: 26,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 12,259 = 12,259 : x
  2. Step 2: Convert to fraction form
    5,605/12,259 = 12,259/x
  3. Step 3: Cross multiply
    5,605x = 12,259 × 12,259
  4. Step 4: Simplify right side
    5,605x = 150,283,081
  5. Step 5: Solve for x
    x = 150,283,081/5,605
  6. Step 6: Final answer
    x = 26,812.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.