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Finding the Third Proportional to 4,917.38 and 10,622.81

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Solution

The third proportional to 4,917.38 and 10,622.81 is: 22,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,917.38 : 10,622.81 = 10,622.81 : x
  2. Step 2: Convert to fraction form
    4,917.38/10,622.81 = 10,622.81/x
  3. Step 3: Cross multiply
    4,917.38x = 10,622.81 × 10,622.81
  4. Step 4: Simplify right side
    4,917.38x = 112,844,145.41
  5. Step 5: Solve for x
    x = 112,844,145.41/4,917.38
  6. Step 6: Final answer
    x = 22,948.05

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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.