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Finding the Third Proportional to 4,831.31 and 10,181.06

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Solution

The third proportional to 4,831.31 and 10,181.06 is: 21,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,831.31 : 10,181.06 = 10,181.06 : x
  2. Step 2: Convert to fraction form
    4,831.31/10,181.06 = 10,181.06/x
  3. Step 3: Cross multiply
    4,831.31x = 10,181.06 × 10,181.06
  4. Step 4: Simplify right side
    4,831.31x = 103,654,033.63
  5. Step 5: Solve for x
    x = 103,654,033.63/4,831.31
  6. Step 6: Final answer
    x = 21,454.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.