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Finding the Third Proportional to 28,732.50 and 38,346.75

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Solution

The third proportional to 28,732.50 and 38,346.75 is: 51,178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,732.50 : 38,346.75 = 38,346.75 : x
  2. Step 2: Convert to fraction form
    28,732.50/38,346.75 = 38,346.75/x
  3. Step 3: Cross multiply
    28,732.50x = 38,346.75 × 38,346.75
  4. Step 4: Simplify right side
    28,732.50x = 1,470,473,235.56
  5. Step 5: Solve for x
    x = 1,470,473,235.56/28,732.50
  6. Step 6: Final answer
    x = 51,178.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.