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Finding the Third Proportional to 15,578 and 23,302

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Solution

The third proportional to 15,578 and 23,302 is: 34,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578 : 23,302 = 23,302 : x
  2. Step 2: Convert to fraction form
    15,578/23,302 = 23,302/x
  3. Step 3: Cross multiply
    15,578x = 23,302 × 23,302
  4. Step 4: Simplify right side
    15,578x = 542,983,204
  5. Step 5: Solve for x
    x = 542,983,204/15,578
  6. Step 6: Final answer
    x = 34,855.77

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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.