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Finding the Third Proportional to 2,398.50 and 5,259.38

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Solution

The third proportional to 2,398.50 and 5,259.38 is: 11,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.50 : 5,259.38 = 5,259.38 : x
  2. Step 2: Convert to fraction form
    2,398.50/5,259.38 = 5,259.38/x
  3. Step 3: Cross multiply
    2,398.50x = 5,259.38 × 5,259.38
  4. Step 4: Simplify right side
    2,398.50x = 27,661,025.39
  5. Step 5: Solve for x
    x = 27,661,025.39/2,398.50
  6. Step 6: Final answer
    x = 11,532.64

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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.