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Finding the Third Proportional to 5,896 and 10,664

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Solution

The third proportional to 5,896 and 10,664 is: 19,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 10,664 = 10,664 : x
  2. Step 2: Convert to fraction form
    5,896/10,664 = 10,664/x
  3. Step 3: Cross multiply
    5,896x = 10,664 × 10,664
  4. Step 4: Simplify right side
    5,896x = 113,720,896
  5. Step 5: Solve for x
    x = 113,720,896/5,896
  6. Step 6: Final answer
    x = 19,287.80

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.