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Finding the Third Proportional to 38,247 and 55,086.50

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Solution

The third proportional to 38,247 and 55,086.50 is: 79,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247 : 55,086.50 = 55,086.50 : x
  2. Step 2: Convert to fraction form
    38,247/55,086.50 = 55,086.50/x
  3. Step 3: Cross multiply
    38,247x = 55,086.50 × 55,086.50
  4. Step 4: Simplify right side
    38,247x = 3,034,522,482.25
  5. Step 5: Solve for x
    x = 3,034,522,482.25/38,247
  6. Step 6: Final answer
    x = 79,340.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.