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Finding the Third Proportional to 45,910 and 70,941

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Solution

The third proportional to 45,910 and 70,941 is: 109,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,910 : 70,941 = 70,941 : x
  2. Step 2: Convert to fraction form
    45,910/70,941 = 70,941/x
  3. Step 3: Cross multiply
    45,910x = 70,941 × 70,941
  4. Step 4: Simplify right side
    45,910x = 5,032,625,481
  5. Step 5: Solve for x
    x = 5,032,625,481/45,910
  6. Step 6: Final answer
    x = 109,619.37

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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.