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Finding the Third Proportional to 45,472 and 70,568

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Solution

The third proportional to 45,472 and 70,568 is: 109,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,472 : 70,568 = 70,568 : x
  2. Step 2: Convert to fraction form
    45,472/70,568 = 70,568/x
  3. Step 3: Cross multiply
    45,472x = 70,568 × 70,568
  4. Step 4: Simplify right side
    45,472x = 4,979,842,624
  5. Step 5: Solve for x
    x = 4,979,842,624/45,472
  6. Step 6: Final answer
    x = 109,514.48

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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.