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Finding the Third Proportional to 41,368 and 91,484

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Solution

The third proportional to 41,368 and 91,484 is: 202,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,368 : 91,484 = 91,484 : x
  2. Step 2: Convert to fraction form
    41,368/91,484 = 91,484/x
  3. Step 3: Cross multiply
    41,368x = 91,484 × 91,484
  4. Step 4: Simplify right side
    41,368x = 8,369,322,256
  5. Step 5: Solve for x
    x = 8,369,322,256/41,368
  6. Step 6: Final answer
    x = 202,313.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.