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Finding the Third Proportional to 12,097.50 and 26,268

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Solution

The third proportional to 12,097.50 and 26,268 is: 57,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.50 : 26,268 = 26,268 : x
  2. Step 2: Convert to fraction form
    12,097.50/26,268 = 26,268/x
  3. Step 3: Cross multiply
    12,097.50x = 26,268 × 26,268
  4. Step 4: Simplify right side
    12,097.50x = 690,007,824
  5. Step 5: Solve for x
    x = 690,007,824/12,097.50
  6. Step 6: Final answer
    x = 57,037.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.