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Finding the Third Proportional to 20,532 and 32,182.50

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Solution

The third proportional to 20,532 and 32,182.50 is: 50,443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532 : 32,182.50 = 32,182.50 : x
  2. Step 2: Convert to fraction form
    20,532/32,182.50 = 32,182.50/x
  3. Step 3: Cross multiply
    20,532x = 32,182.50 × 32,182.50
  4. Step 4: Simplify right side
    20,532x = 1,035,713,306.25
  5. Step 5: Solve for x
    x = 1,035,713,306.25/20,532
  6. Step 6: Final answer
    x = 50,443.86

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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.