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Finding the Third Proportional to 32,002 and 66,047

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Solution

The third proportional to 32,002 and 66,047 is: 136,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002 : 66,047 = 66,047 : x
  2. Step 2: Convert to fraction form
    32,002/66,047 = 66,047/x
  3. Step 3: Cross multiply
    32,002x = 66,047 × 66,047
  4. Step 4: Simplify right side
    32,002x = 4,362,206,209
  5. Step 5: Solve for x
    x = 4,362,206,209/32,002
  6. Step 6: Final answer
    x = 136,310.42

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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.