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Finding the Third Proportional to 8,831.53 and 19,204.59

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Solution

The third proportional to 8,831.53 and 19,204.59 is: 41,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.53 : 19,204.59 = 19,204.59 : x
  2. Step 2: Convert to fraction form
    8,831.53/19,204.59 = 19,204.59/x
  3. Step 3: Cross multiply
    8,831.53x = 19,204.59 × 19,204.59
  4. Step 4: Simplify right side
    8,831.53x = 368,816,421.10
  5. Step 5: Solve for x
    x = 368,816,421.10/8,831.53
  6. Step 6: Final answer
    x = 41,761.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.