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Finding the Third Proportional to 7,836 and 9,228

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Solution

The third proportional to 7,836 and 9,228 is: 10,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836 : 9,228 = 9,228 : x
  2. Step 2: Convert to fraction form
    7,836/9,228 = 9,228/x
  3. Step 3: Cross multiply
    7,836x = 9,228 × 9,228
  4. Step 4: Simplify right side
    7,836x = 85,155,984
  5. Step 5: Solve for x
    x = 85,155,984/7,836
  6. Step 6: Final answer
    x = 10,867.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.