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Finding the Third Proportional to 32,927 and 52,307

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Solution

The third proportional to 32,927 and 52,307 is: 83,093.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927 : 52,307 = 52,307 : x
  2. Step 2: Convert to fraction form
    32,927/52,307 = 52,307/x
  3. Step 3: Cross multiply
    32,927x = 52,307 × 52,307
  4. Step 4: Simplify right side
    32,927x = 2,736,022,249
  5. Step 5: Solve for x
    x = 2,736,022,249/32,927
  6. Step 6: Final answer
    x = 83,093.58

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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.