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Finding the Third Proportional to 24,165 and 34,030

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Solution

The third proportional to 24,165 and 34,030 is: 47,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165 : 34,030 = 34,030 : x
  2. Step 2: Convert to fraction form
    24,165/34,030 = 34,030/x
  3. Step 3: Cross multiply
    24,165x = 34,030 × 34,030
  4. Step 4: Simplify right side
    24,165x = 1,158,040,900
  5. Step 5: Solve for x
    x = 1,158,040,900/24,165
  6. Step 6: Final answer
    x = 47,922.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.