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Finding the Third Proportional to 14,944 and 17,664

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Solution

The third proportional to 14,944 and 17,664 is: 20,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944 : 17,664 = 17,664 : x
  2. Step 2: Convert to fraction form
    14,944/17,664 = 17,664/x
  3. Step 3: Cross multiply
    14,944x = 17,664 × 17,664
  4. Step 4: Simplify right side
    14,944x = 312,016,896
  5. Step 5: Solve for x
    x = 312,016,896/14,944
  6. Step 6: Final answer
    x = 20,879.07

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.