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Finding the Third Proportional to 17,097.75 and 25,737.75

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Solution

The third proportional to 17,097.75 and 25,737.75 is: 38,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.75 : 25,737.75 = 25,737.75 : x
  2. Step 2: Convert to fraction form
    17,097.75/25,737.75 = 25,737.75/x
  3. Step 3: Cross multiply
    17,097.75x = 25,737.75 × 25,737.75
  4. Step 4: Simplify right side
    17,097.75x = 662,431,775.06
  5. Step 5: Solve for x
    x = 662,431,775.06/17,097.75
  6. Step 6: Final answer
    x = 38,743.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.