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Finding the Third Proportional to 45,418 and 70,885

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Solution

The third proportional to 45,418 and 70,885 is: 110,631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418 : 70,885 = 70,885 : x
  2. Step 2: Convert to fraction form
    45,418/70,885 = 70,885/x
  3. Step 3: Cross multiply
    45,418x = 70,885 × 70,885
  4. Step 4: Simplify right side
    45,418x = 5,024,683,225
  5. Step 5: Solve for x
    x = 5,024,683,225/45,418
  6. Step 6: Final answer
    x = 110,631.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.