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Finding the Third Proportional to 14,739 and 21,673

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Solution

The third proportional to 14,739 and 21,673 is: 31,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,739 : 21,673 = 21,673 : x
  2. Step 2: Convert to fraction form
    14,739/21,673 = 21,673/x
  3. Step 3: Cross multiply
    14,739x = 21,673 × 21,673
  4. Step 4: Simplify right side
    14,739x = 469,718,929
  5. Step 5: Solve for x
    x = 469,718,929/14,739
  6. Step 6: Final answer
    x = 31,869.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.