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Finding the Third Proportional to 15,909.75 and 17,367.75

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Solution

The third proportional to 15,909.75 and 17,367.75 is: 18,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.75 : 17,367.75 = 17,367.75 : x
  2. Step 2: Convert to fraction form
    15,909.75/17,367.75 = 17,367.75/x
  3. Step 3: Cross multiply
    15,909.75x = 17,367.75 × 17,367.75
  4. Step 4: Simplify right side
    15,909.75x = 301,638,740.06
  5. Step 5: Solve for x
    x = 301,638,740.06/15,909.75
  6. Step 6: Final answer
    x = 18,959.36

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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.