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Finding the Third Proportional to 6,896 and 15,664

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Solution

The third proportional to 6,896 and 15,664 is: 35,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 15,664 = 15,664 : x
  2. Step 2: Convert to fraction form
    6,896/15,664 = 15,664/x
  3. Step 3: Cross multiply
    6,896x = 15,664 × 15,664
  4. Step 4: Simplify right side
    6,896x = 245,360,896
  5. Step 5: Solve for x
    x = 245,360,896/6,896
  6. Step 6: Final answer
    x = 35,580.18

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.