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Finding the Third Proportional to 1,755.42 and 4,140.49

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Solution

The third proportional to 1,755.42 and 4,140.49 is: 9,766.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.42 : 4,140.49 = 4,140.49 : x
  2. Step 2: Convert to fraction form
    1,755.42/4,140.49 = 4,140.49/x
  3. Step 3: Cross multiply
    1,755.42x = 4,140.49 × 4,140.49
  4. Step 4: Simplify right side
    1,755.42x = 17,143,675.55
  5. Step 5: Solve for x
    x = 17,143,675.55/1,755.42
  6. Step 6: Final answer
    x = 9,766.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.