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Finding the Third Proportional to 831.25 and 1,822.25

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Solution

The third proportional to 831.25 and 1,822.25 is: 3,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.25 : 1,822.25 = 1,822.25 : x
  2. Step 2: Convert to fraction form
    831.25/1,822.25 = 1,822.25/x
  3. Step 3: Cross multiply
    831.25x = 1,822.25 × 1,822.25
  4. Step 4: Simplify right side
    831.25x = 3,320,595.06
  5. Step 5: Solve for x
    x = 3,320,595.06/831.25
  6. Step 6: Final answer
    x = 3,994.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.