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Finding the Third Proportional to 7,886.50 and 17,249

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Solution

The third proportional to 7,886.50 and 17,249 is: 37,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.50 : 17,249 = 17,249 : x
  2. Step 2: Convert to fraction form
    7,886.50/17,249 = 17,249/x
  3. Step 3: Cross multiply
    7,886.50x = 17,249 × 17,249
  4. Step 4: Simplify right side
    7,886.50x = 297,528,001
  5. Step 5: Solve for x
    x = 297,528,001/7,886.50
  6. Step 6: Final answer
    x = 37,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.