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Finding the Third Proportional to 17,507.25 and 37,089

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Solution

The third proportional to 17,507.25 and 37,089 is: 78,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.25 : 37,089 = 37,089 : x
  2. Step 2: Convert to fraction form
    17,507.25/37,089 = 37,089/x
  3. Step 3: Cross multiply
    17,507.25x = 37,089 × 37,089
  4. Step 4: Simplify right side
    17,507.25x = 1,375,593,921
  5. Step 5: Solve for x
    x = 1,375,593,921/17,507.25
  6. Step 6: Final answer
    x = 78,572.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.