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Finding the Third Proportional to 34,637 and 52,268

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Solution

The third proportional to 34,637 and 52,268 is: 78,873.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,637 : 52,268 = 52,268 : x
  2. Step 2: Convert to fraction form
    34,637/52,268 = 52,268/x
  3. Step 3: Cross multiply
    34,637x = 52,268 × 52,268
  4. Step 4: Simplify right side
    34,637x = 2,731,943,824
  5. Step 5: Solve for x
    x = 2,731,943,824/34,637
  6. Step 6: Final answer
    x = 78,873.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.