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Finding the Third Proportional to 14,461 and 18,891

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Solution

The third proportional to 14,461 and 18,891 is: 24,678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461 : 18,891 = 18,891 : x
  2. Step 2: Convert to fraction form
    14,461/18,891 = 18,891/x
  3. Step 3: Cross multiply
    14,461x = 18,891 × 18,891
  4. Step 4: Simplify right side
    14,461x = 356,869,881
  5. Step 5: Solve for x
    x = 356,869,881/14,461
  6. Step 6: Final answer
    x = 24,678.09

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.