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Finding the Third Proportional to 8,347.50 and 16,456.50

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Solution

The third proportional to 8,347.50 and 16,456.50 is: 32,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.50 : 16,456.50 = 16,456.50 : x
  2. Step 2: Convert to fraction form
    8,347.50/16,456.50 = 16,456.50/x
  3. Step 3: Cross multiply
    8,347.50x = 16,456.50 × 16,456.50
  4. Step 4: Simplify right side
    8,347.50x = 270,816,392.25
  5. Step 5: Solve for x
    x = 270,816,392.25/8,347.50
  6. Step 6: Final answer
    x = 32,442.81

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.