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Finding the Third Proportional to 32,278 and 66,337

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Solution

The third proportional to 32,278 and 66,337 is: 136,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,278 : 66,337 = 66,337 : x
  2. Step 2: Convert to fraction form
    32,278/66,337 = 66,337/x
  3. Step 3: Cross multiply
    32,278x = 66,337 × 66,337
  4. Step 4: Simplify right side
    32,278x = 4,400,597,569
  5. Step 5: Solve for x
    x = 4,400,597,569/32,278
  6. Step 6: Final answer
    x = 136,334.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.