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Finding the Third Proportional to 45,233 and 66,493

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Solution

The third proportional to 45,233 and 66,493 is: 97,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,233 : 66,493 = 66,493 : x
  2. Step 2: Convert to fraction form
    45,233/66,493 = 66,493/x
  3. Step 3: Cross multiply
    45,233x = 66,493 × 66,493
  4. Step 4: Simplify right side
    45,233x = 4,421,319,049
  5. Step 5: Solve for x
    x = 4,421,319,049/45,233
  6. Step 6: Final answer
    x = 97,745.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.