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Finding the Third Proportional to 39,035 and 91,865

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Solution

The third proportional to 39,035 and 91,865 is: 216,195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,035 : 91,865 = 91,865 : x
  2. Step 2: Convert to fraction form
    39,035/91,865 = 91,865/x
  3. Step 3: Cross multiply
    39,035x = 91,865 × 91,865
  4. Step 4: Simplify right side
    39,035x = 8,439,178,225
  5. Step 5: Solve for x
    x = 8,439,178,225/39,035
  6. Step 6: Final answer
    x = 216,195.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.