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Finding the Third Proportional to 4,995 and 10,578

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Solution

The third proportional to 4,995 and 10,578 is: 22,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995 : 10,578 = 10,578 : x
  2. Step 2: Convert to fraction form
    4,995/10,578 = 10,578/x
  3. Step 3: Cross multiply
    4,995x = 10,578 × 10,578
  4. Step 4: Simplify right side
    4,995x = 111,894,084
  5. Step 5: Solve for x
    x = 111,894,084/4,995
  6. Step 6: Final answer
    x = 22,401.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.