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Finding the Third Proportional to 14,944 and 21,118

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Solution

The third proportional to 14,944 and 21,118 is: 29,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944 : 21,118 = 21,118 : x
  2. Step 2: Convert to fraction form
    14,944/21,118 = 21,118/x
  3. Step 3: Cross multiply
    14,944x = 21,118 × 21,118
  4. Step 4: Simplify right side
    14,944x = 445,969,924
  5. Step 5: Solve for x
    x = 445,969,924/14,944
  6. Step 6: Final answer
    x = 29,842.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.