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Finding the Third Proportional to 32,433 and 69,051

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Solution

The third proportional to 32,433 and 69,051 is: 147,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,433 : 69,051 = 69,051 : x
  2. Step 2: Convert to fraction form
    32,433/69,051 = 69,051/x
  3. Step 3: Cross multiply
    32,433x = 69,051 × 69,051
  4. Step 4: Simplify right side
    32,433x = 4,768,040,601
  5. Step 5: Solve for x
    x = 4,768,040,601/32,433
  6. Step 6: Final answer
    x = 147,012.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.