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Finding the Third Proportional to 4,683.38 and 10,116.56

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Solution

The third proportional to 4,683.38 and 10,116.56 is: 21,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.38 : 10,116.56 = 10,116.56 : x
  2. Step 2: Convert to fraction form
    4,683.38/10,116.56 = 10,116.56/x
  3. Step 3: Cross multiply
    4,683.38x = 10,116.56 × 10,116.56
  4. Step 4: Simplify right side
    4,683.38x = 102,344,836.82
  5. Step 5: Solve for x
    x = 102,344,836.82/4,683.38
  6. Step 6: Final answer
    x = 21,852.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.