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Finding the Third Proportional to 4,201.88 and 9,140.63

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Solution

The third proportional to 4,201.88 and 9,140.63 is: 19,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.88 : 9,140.63 = 9,140.63 : x
  2. Step 2: Convert to fraction form
    4,201.88/9,140.63 = 9,140.63/x
  3. Step 3: Cross multiply
    4,201.88x = 9,140.63 × 9,140.63
  4. Step 4: Simplify right side
    4,201.88x = 83,551,025.39
  5. Step 5: Solve for x
    x = 83,551,025.39/4,201.88
  6. Step 6: Final answer
    x = 19,884.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.