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Finding the Third Proportional to 11,831.06 and 17,644.08

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Solution

The third proportional to 11,831.06 and 17,644.08 is: 26,313.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.06 : 17,644.08 = 17,644.08 : x
  2. Step 2: Convert to fraction form
    11,831.06/17,644.08 = 17,644.08/x
  3. Step 3: Cross multiply
    11,831.06x = 17,644.08 × 17,644.08
  4. Step 4: Simplify right side
    11,831.06x = 311,313,492.88
  5. Step 5: Solve for x
    x = 311,313,492.88/11,831.06
  6. Step 6: Final answer
    x = 26,313.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.