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Finding the Third Proportional to 44,186 and 66,423

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Solution

The third proportional to 44,186 and 66,423 is: 99,850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,186 : 66,423 = 66,423 : x
  2. Step 2: Convert to fraction form
    44,186/66,423 = 66,423/x
  3. Step 3: Cross multiply
    44,186x = 66,423 × 66,423
  4. Step 4: Simplify right side
    44,186x = 4,412,014,929
  5. Step 5: Solve for x
    x = 4,412,014,929/44,186
  6. Step 6: Final answer
    x = 99,850.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.