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Finding the Third Proportional to 5,283.14 and 11,155.64

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Solution

The third proportional to 5,283.14 and 11,155.64 is: 23,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.14 : 11,155.64 = 11,155.64 : x
  2. Step 2: Convert to fraction form
    5,283.14/11,155.64 = 11,155.64/x
  3. Step 3: Cross multiply
    5,283.14x = 11,155.64 × 11,155.64
  4. Step 4: Simplify right side
    5,283.14x = 124,448,317.75
  5. Step 5: Solve for x
    x = 124,448,317.75/5,283.14
  6. Step 6: Final answer
    x = 23,555.75

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Why These Related Problems?

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