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Finding the Third Proportional to 15,846 and 23,519

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Solution

The third proportional to 15,846 and 23,519 is: 34,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846 : 23,519 = 23,519 : x
  2. Step 2: Convert to fraction form
    15,846/23,519 = 23,519/x
  3. Step 3: Cross multiply
    15,846x = 23,519 × 23,519
  4. Step 4: Simplify right side
    15,846x = 553,143,361
  5. Step 5: Solve for x
    x = 553,143,361/15,846
  6. Step 6: Final answer
    x = 34,907.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.