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Finding the Third Proportional to 26,649 and 32,197.50

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Solution

The third proportional to 26,649 and 32,197.50 is: 38,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,649 : 32,197.50 = 32,197.50 : x
  2. Step 2: Convert to fraction form
    26,649/32,197.50 = 32,197.50/x
  3. Step 3: Cross multiply
    26,649x = 32,197.50 × 32,197.50
  4. Step 4: Simplify right side
    26,649x = 1,036,679,006.25
  5. Step 5: Solve for x
    x = 1,036,679,006.25/26,649
  6. Step 6: Final answer
    x = 38,901.23

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.