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Finding the Third Proportional to 1,887.94 and 4,265.34

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Solution

The third proportional to 1,887.94 and 4,265.34 is: 9,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.94 : 4,265.34 = 4,265.34 : x
  2. Step 2: Convert to fraction form
    1,887.94/4,265.34 = 4,265.34/x
  3. Step 3: Cross multiply
    1,887.94x = 4,265.34 × 4,265.34
  4. Step 4: Simplify right side
    1,887.94x = 18,193,157.31
  5. Step 5: Solve for x
    x = 18,193,157.31/1,887.94
  6. Step 6: Final answer
    x = 9,636.53

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.