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Finding the Third Proportional to 14,951 and 31,451

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Solution

The third proportional to 14,951 and 31,451 is: 66,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951 : 31,451 = 31,451 : x
  2. Step 2: Convert to fraction form
    14,951/31,451 = 31,451/x
  3. Step 3: Cross multiply
    14,951x = 31,451 × 31,451
  4. Step 4: Simplify right side
    14,951x = 989,165,401
  5. Step 5: Solve for x
    x = 989,165,401/14,951
  6. Step 6: Final answer
    x = 66,160.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.