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Finding the Third Proportional to 41,642 and 63,503

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Solution

The third proportional to 41,642 and 63,503 is: 96,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642 : 63,503 = 63,503 : x
  2. Step 2: Convert to fraction form
    41,642/63,503 = 63,503/x
  3. Step 3: Cross multiply
    41,642x = 63,503 × 63,503
  4. Step 4: Simplify right side
    41,642x = 4,032,631,009
  5. Step 5: Solve for x
    x = 4,032,631,009/41,642
  6. Step 6: Final answer
    x = 96,840.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.