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Finding the Third Proportional to 7,191 and 9,664

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Solution

The third proportional to 7,191 and 9,664 is: 12,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191 : 9,664 = 9,664 : x
  2. Step 2: Convert to fraction form
    7,191/9,664 = 9,664/x
  3. Step 3: Cross multiply
    7,191x = 9,664 × 9,664
  4. Step 4: Simplify right side
    7,191x = 93,392,896
  5. Step 5: Solve for x
    x = 93,392,896/7,191
  6. Step 6: Final answer
    x = 12,987.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.