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Finding the Third Proportional to 8,259 and 14,092.50

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Solution

The third proportional to 8,259 and 14,092.50 is: 24,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,259 : 14,092.50 = 14,092.50 : x
  2. Step 2: Convert to fraction form
    8,259/14,092.50 = 14,092.50/x
  3. Step 3: Cross multiply
    8,259x = 14,092.50 × 14,092.50
  4. Step 4: Simplify right side
    8,259x = 198,598,556.25
  5. Step 5: Solve for x
    x = 198,598,556.25/8,259
  6. Step 6: Final answer
    x = 24,046.32

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.