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Finding the Third Proportional to 45,396 and 70,579

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Solution

The third proportional to 45,396 and 70,579 is: 109,732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,396 : 70,579 = 70,579 : x
  2. Step 2: Convert to fraction form
    45,396/70,579 = 70,579/x
  3. Step 3: Cross multiply
    45,396x = 70,579 × 70,579
  4. Step 4: Simplify right side
    45,396x = 4,981,395,241
  5. Step 5: Solve for x
    x = 4,981,395,241/45,396
  6. Step 6: Final answer
    x = 109,732.03

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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.