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Finding the Third Proportional to 41,817 and 89,385

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Solution

The third proportional to 41,817 and 89,385 is: 191,062.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,817 : 89,385 = 89,385 : x
  2. Step 2: Convert to fraction form
    41,817/89,385 = 89,385/x
  3. Step 3: Cross multiply
    41,817x = 89,385 × 89,385
  4. Step 4: Simplify right side
    41,817x = 7,989,678,225
  5. Step 5: Solve for x
    x = 7,989,678,225/41,817
  6. Step 6: Final answer
    x = 191,062.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.