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Finding the Third Proportional to 32,855.75 and 51,473

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Solution

The third proportional to 32,855.75 and 51,473 is: 80,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.75 : 51,473 = 51,473 : x
  2. Step 2: Convert to fraction form
    32,855.75/51,473 = 51,473/x
  3. Step 3: Cross multiply
    32,855.75x = 51,473 × 51,473
  4. Step 4: Simplify right side
    32,855.75x = 2,649,469,729
  5. Step 5: Solve for x
    x = 2,649,469,729/32,855.75
  6. Step 6: Final answer
    x = 80,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.