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Finding the Third Proportional to 46,022 and 68,385

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Solution

The third proportional to 46,022 and 68,385 is: 101,614.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022 : 68,385 = 68,385 : x
  2. Step 2: Convert to fraction form
    46,022/68,385 = 68,385/x
  3. Step 3: Cross multiply
    46,022x = 68,385 × 68,385
  4. Step 4: Simplify right side
    46,022x = 4,676,508,225
  5. Step 5: Solve for x
    x = 4,676,508,225/46,022
  6. Step 6: Final answer
    x = 101,614.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.