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Finding the Third Proportional to 1,887.19 and 4,150.13

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Solution

The third proportional to 1,887.19 and 4,150.13 is: 9,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.19 : 4,150.13 = 4,150.13 : x
  2. Step 2: Convert to fraction form
    1,887.19/4,150.13 = 4,150.13/x
  3. Step 3: Cross multiply
    1,887.19x = 4,150.13 × 4,150.13
  4. Step 4: Simplify right side
    1,887.19x = 17,223,537.52
  5. Step 5: Solve for x
    x = 17,223,537.52/1,887.19
  6. Step 6: Final answer
    x = 9,126.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.