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Finding the Third Proportional to 16,866 and 24,292.50

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Solution

The third proportional to 16,866 and 24,292.50 is: 34,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,866 : 24,292.50 = 24,292.50 : x
  2. Step 2: Convert to fraction form
    16,866/24,292.50 = 24,292.50/x
  3. Step 3: Cross multiply
    16,866x = 24,292.50 × 24,292.50
  4. Step 4: Simplify right side
    16,866x = 590,125,556.25
  5. Step 5: Solve for x
    x = 590,125,556.25/16,866
  6. Step 6: Final answer
    x = 34,989.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.