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Finding the Third Proportional to 7,226 and 9,768

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Solution

The third proportional to 7,226 and 9,768 is: 13,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226 : 9,768 = 9,768 : x
  2. Step 2: Convert to fraction form
    7,226/9,768 = 9,768/x
  3. Step 3: Cross multiply
    7,226x = 9,768 × 9,768
  4. Step 4: Simplify right side
    7,226x = 95,413,824
  5. Step 5: Solve for x
    x = 95,413,824/7,226
  6. Step 6: Final answer
    x = 13,204.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.