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Finding the Third Proportional to 9,216 and 11,556

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Solution

The third proportional to 9,216 and 11,556 is: 14,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 11,556 = 11,556 : x
  2. Step 2: Convert to fraction form
    9,216/11,556 = 11,556/x
  3. Step 3: Cross multiply
    9,216x = 11,556 × 11,556
  4. Step 4: Simplify right side
    9,216x = 133,541,136
  5. Step 5: Solve for x
    x = 133,541,136/9,216
  6. Step 6: Final answer
    x = 14,490.14

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.