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Finding the Third Proportional to 2,228.77 and 4,810.64

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Solution

The third proportional to 2,228.77 and 4,810.64 is: 10,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.77 : 4,810.64 = 4,810.64 : x
  2. Step 2: Convert to fraction form
    2,228.77/4,810.64 = 4,810.64/x
  3. Step 3: Cross multiply
    2,228.77x = 4,810.64 × 4,810.64
  4. Step 4: Simplify right side
    2,228.77x = 23,142,263.22
  5. Step 5: Solve for x
    x = 23,142,263.22/2,228.77
  6. Step 6: Final answer
    x = 10,383.44

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Why These Related Problems?

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