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Finding the Third Proportional to 14,673 and 19,921.50

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Solution

The third proportional to 14,673 and 19,921.50 is: 27,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673 : 19,921.50 = 19,921.50 : x
  2. Step 2: Convert to fraction form
    14,673/19,921.50 = 19,921.50/x
  3. Step 3: Cross multiply
    14,673x = 19,921.50 × 19,921.50
  4. Step 4: Simplify right side
    14,673x = 396,866,162.25
  5. Step 5: Solve for x
    x = 396,866,162.25/14,673
  6. Step 6: Final answer
    x = 27,047.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.