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Finding the Third Proportional to 39,209 and 59,990

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Solution

The third proportional to 39,209 and 59,990 is: 91,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,209 : 59,990 = 59,990 : x
  2. Step 2: Convert to fraction form
    39,209/59,990 = 59,990/x
  3. Step 3: Cross multiply
    39,209x = 59,990 × 59,990
  4. Step 4: Simplify right side
    39,209x = 3,598,800,100
  5. Step 5: Solve for x
    x = 3,598,800,100/39,209
  6. Step 6: Final answer
    x = 91,785.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.