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Finding the Third Proportional to 7,896 and 17,664

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Solution

The third proportional to 7,896 and 17,664 is: 39,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896 : 17,664 = 17,664 : x
  2. Step 2: Convert to fraction form
    7,896/17,664 = 17,664/x
  3. Step 3: Cross multiply
    7,896x = 17,664 × 17,664
  4. Step 4: Simplify right side
    7,896x = 312,016,896
  5. Step 5: Solve for x
    x = 312,016,896/7,896
  6. Step 6: Final answer
    x = 39,515.82

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.