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Finding the Third Proportional to 1,918.37 and 4,353.12

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Solution

The third proportional to 1,918.37 and 4,353.12 is: 9,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.37 : 4,353.12 = 4,353.12 : x
  2. Step 2: Convert to fraction form
    1,918.37/4,353.12 = 4,353.12/x
  3. Step 3: Cross multiply
    1,918.37x = 4,353.12 × 4,353.12
  4. Step 4: Simplify right side
    1,918.37x = 18,949,629.25
  5. Step 5: Solve for x
    x = 18,949,629.25/1,918.37
  6. Step 6: Final answer
    x = 9,877.98

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.