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Finding the Third Proportional to 48,666 and 70,327

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Solution

The third proportional to 48,666 and 70,327 is: 101,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,666 : 70,327 = 70,327 : x
  2. Step 2: Convert to fraction form
    48,666/70,327 = 70,327/x
  3. Step 3: Cross multiply
    48,666x = 70,327 × 70,327
  4. Step 4: Simplify right side
    48,666x = 4,945,886,929
  5. Step 5: Solve for x
    x = 4,945,886,929/48,666
  6. Step 6: Final answer
    x = 101,629.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.