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Finding the Third Proportional to 34,118 and 52,633

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Solution

The third proportional to 34,118 and 52,633 is: 81,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,118 : 52,633 = 52,633 : x
  2. Step 2: Convert to fraction form
    34,118/52,633 = 52,633/x
  3. Step 3: Cross multiply
    34,118x = 52,633 × 52,633
  4. Step 4: Simplify right side
    34,118x = 2,770,232,689
  5. Step 5: Solve for x
    x = 2,770,232,689/34,118
  6. Step 6: Final answer
    x = 81,195.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.