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Finding the Third Proportional to 27,232 and 42,794

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Solution

The third proportional to 27,232 and 42,794 is: 67,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 42,794 = 42,794 : x
  2. Step 2: Convert to fraction form
    27,232/42,794 = 42,794/x
  3. Step 3: Cross multiply
    27,232x = 42,794 × 42,794
  4. Step 4: Simplify right side
    27,232x = 1,831,326,436
  5. Step 5: Solve for x
    x = 1,831,326,436/27,232
  6. Step 6: Final answer
    x = 67,249.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.