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Finding the Third Proportional to 23,135 and 34,639

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Solution

The third proportional to 23,135 and 34,639 is: 51,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135 : 34,639 = 34,639 : x
  2. Step 2: Convert to fraction form
    23,135/34,639 = 34,639/x
  3. Step 3: Cross multiply
    23,135x = 34,639 × 34,639
  4. Step 4: Simplify right side
    23,135x = 1,199,860,321
  5. Step 5: Solve for x
    x = 1,199,860,321/23,135
  6. Step 6: Final answer
    x = 51,863.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.