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Finding the Third Proportional to 41,964 and 91,038

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Solution

The third proportional to 41,964 and 91,038 is: 197,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964 : 91,038 = 91,038 : x
  2. Step 2: Convert to fraction form
    41,964/91,038 = 91,038/x
  3. Step 3: Cross multiply
    41,964x = 91,038 × 91,038
  4. Step 4: Simplify right side
    41,964x = 8,287,917,444
  5. Step 5: Solve for x
    x = 8,287,917,444/41,964
  6. Step 6: Final answer
    x = 197,500.65

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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.