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Finding the Third Proportional to 35,613 and 55,140.75

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Solution

The third proportional to 35,613 and 55,140.75 is: 85,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613 : 55,140.75 = 55,140.75 : x
  2. Step 2: Convert to fraction form
    35,613/55,140.75 = 55,140.75/x
  3. Step 3: Cross multiply
    35,613x = 55,140.75 × 55,140.75
  4. Step 4: Simplify right side
    35,613x = 3,040,502,310.56
  5. Step 5: Solve for x
    x = 3,040,502,310.56/35,613
  6. Step 6: Final answer
    x = 85,376.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.