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Finding the Third Proportional to 17,023 and 37,051

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Solution

The third proportional to 17,023 and 37,051 is: 80,642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023 : 37,051 = 37,051 : x
  2. Step 2: Convert to fraction form
    17,023/37,051 = 37,051/x
  3. Step 3: Cross multiply
    17,023x = 37,051 × 37,051
  4. Step 4: Simplify right side
    17,023x = 1,372,776,601
  5. Step 5: Solve for x
    x = 1,372,776,601/17,023
  6. Step 6: Final answer
    x = 80,642.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.