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Finding the Third Proportional to 1,831.99 and 4,428.11

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Solution

The third proportional to 1,831.99 and 4,428.11 is: 10,703.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.99 : 4,428.11 = 4,428.11 : x
  2. Step 2: Convert to fraction form
    1,831.99/4,428.11 = 4,428.11/x
  3. Step 3: Cross multiply
    1,831.99x = 4,428.11 × 4,428.11
  4. Step 4: Simplify right side
    1,831.99x = 19,608,118.04
  5. Step 5: Solve for x
    x = 19,608,118.04/1,831.99
  6. Step 6: Final answer
    x = 10,703.17

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.