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Finding the Third Proportional to 41,642 and 66,603

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Solution

The third proportional to 41,642 and 66,603 is: 106,526.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642 : 66,603 = 66,603 : x
  2. Step 2: Convert to fraction form
    41,642/66,603 = 66,603/x
  3. Step 3: Cross multiply
    41,642x = 66,603 × 66,603
  4. Step 4: Simplify right side
    41,642x = 4,435,959,609
  5. Step 5: Solve for x
    x = 4,435,959,609/41,642
  6. Step 6: Final answer
    x = 106,526.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.