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Finding the Third Proportional to 42,921 and 66,327

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Solution

The third proportional to 42,921 and 66,327 is: 102,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,921 : 66,327 = 66,327 : x
  2. Step 2: Convert to fraction form
    42,921/66,327 = 66,327/x
  3. Step 3: Cross multiply
    42,921x = 66,327 × 66,327
  4. Step 4: Simplify right side
    42,921x = 4,399,270,929
  5. Step 5: Solve for x
    x = 4,399,270,929/42,921
  6. Step 6: Final answer
    x = 102,496.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.