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Finding the Third Proportional to 45,034 and 69,327

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Solution

The third proportional to 45,034 and 69,327 is: 106,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,034 : 69,327 = 69,327 : x
  2. Step 2: Convert to fraction form
    45,034/69,327 = 69,327/x
  3. Step 3: Cross multiply
    45,034x = 69,327 × 69,327
  4. Step 4: Simplify right side
    45,034x = 4,806,232,929
  5. Step 5: Solve for x
    x = 4,806,232,929/45,034
  6. Step 6: Final answer
    x = 106,724.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.