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Finding the Third Proportional to 45,288 and 67,824

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Solution

The third proportional to 45,288 and 67,824 is: 101,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,288 : 67,824 = 67,824 : x
  2. Step 2: Convert to fraction form
    45,288/67,824 = 67,824/x
  3. Step 3: Cross multiply
    45,288x = 67,824 × 67,824
  4. Step 4: Simplify right side
    45,288x = 4,600,094,976
  5. Step 5: Solve for x
    x = 4,600,094,976/45,288
  6. Step 6: Final answer
    x = 101,574.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.