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Finding the Third Proportional to 887.20 and 1,831.36

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Solution

The third proportional to 887.20 and 1,831.36 is: 3,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.20 : 1,831.36 = 1,831.36 : x
  2. Step 2: Convert to fraction form
    887.20/1,831.36 = 1,831.36/x
  3. Step 3: Cross multiply
    887.20x = 1,831.36 × 1,831.36
  4. Step 4: Simplify right side
    887.20x = 3,353,877.16
  5. Step 5: Solve for x
    x = 3,353,877.16/887.20
  6. Step 6: Final answer
    x = 3,780.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.