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Finding the Third Proportional to 17,658 and 25,535.25

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Solution

The third proportional to 17,658 and 25,535.25 is: 36,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658 : 25,535.25 = 25,535.25 : x
  2. Step 2: Convert to fraction form
    17,658/25,535.25 = 25,535.25/x
  3. Step 3: Cross multiply
    17,658x = 25,535.25 × 25,535.25
  4. Step 4: Simplify right side
    17,658x = 652,048,992.56
  5. Step 5: Solve for x
    x = 652,048,992.56/17,658
  6. Step 6: Final answer
    x = 36,926.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.