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Finding the Third Proportional to 41,964 and 91,037

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Solution

The third proportional to 41,964 and 91,037 is: 197,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964 : 91,037 = 91,037 : x
  2. Step 2: Convert to fraction form
    41,964/91,037 = 91,037/x
  3. Step 3: Cross multiply
    41,964x = 91,037 × 91,037
  4. Step 4: Simplify right side
    41,964x = 8,287,735,369
  5. Step 5: Solve for x
    x = 8,287,735,369/41,964
  6. Step 6: Final answer
    x = 197,496.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.