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Finding the Third Proportional to 16,098.75 and 17,502.75

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Solution

The third proportional to 16,098.75 and 17,502.75 is: 19,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.75 : 17,502.75 = 17,502.75 : x
  2. Step 2: Convert to fraction form
    16,098.75/17,502.75 = 17,502.75/x
  3. Step 3: Cross multiply
    16,098.75x = 17,502.75 × 17,502.75
  4. Step 4: Simplify right side
    16,098.75x = 306,346,257.56
  5. Step 5: Solve for x
    x = 306,346,257.56/16,098.75
  6. Step 6: Final answer
    x = 19,029.20

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.