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Finding the Third Proportional to 40,198.75 and 59,093.75

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Solution

The third proportional to 40,198.75 and 59,093.75 is: 86,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,198.75 : 59,093.75 = 59,093.75 : x
  2. Step 2: Convert to fraction form
    40,198.75/59,093.75 = 59,093.75/x
  3. Step 3: Cross multiply
    40,198.75x = 59,093.75 × 59,093.75
  4. Step 4: Simplify right side
    40,198.75x = 3,492,071,289.06
  5. Step 5: Solve for x
    x = 3,492,071,289.06/40,198.75
  6. Step 6: Final answer
    x = 86,870.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.