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Finding the Third Proportional to 23,385 and 34,977

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Solution

The third proportional to 23,385 and 34,977 is: 52,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385 : 34,977 = 34,977 : x
  2. Step 2: Convert to fraction form
    23,385/34,977 = 34,977/x
  3. Step 3: Cross multiply
    23,385x = 34,977 × 34,977
  4. Step 4: Simplify right side
    23,385x = 1,223,390,529
  5. Step 5: Solve for x
    x = 1,223,390,529/23,385
  6. Step 6: Final answer
    x = 52,315.18

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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.