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Finding the Third Proportional to 15,578 and 24,799

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Solution

The third proportional to 15,578 and 24,799 is: 39,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578 : 24,799 = 24,799 : x
  2. Step 2: Convert to fraction form
    15,578/24,799 = 24,799/x
  3. Step 3: Cross multiply
    15,578x = 24,799 × 24,799
  4. Step 4: Simplify right side
    15,578x = 614,990,401
  5. Step 5: Solve for x
    x = 614,990,401/15,578
  6. Step 6: Final answer
    x = 39,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.