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Finding the Third Proportional to 44,660 and 70,932

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Solution

The third proportional to 44,660 and 70,932 is: 112,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,660 : 70,932 = 70,932 : x
  2. Step 2: Convert to fraction form
    44,660/70,932 = 70,932/x
  3. Step 3: Cross multiply
    44,660x = 70,932 × 70,932
  4. Step 4: Simplify right side
    44,660x = 5,031,348,624
  5. Step 5: Solve for x
    x = 5,031,348,624/44,660
  6. Step 6: Final answer
    x = 112,658.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.