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Finding the Third Proportional to 23,642.67 and 35,636.99

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Solution

The third proportional to 23,642.67 and 35,636.99 is: 53,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.67 : 35,636.99 = 35,636.99 : x
  2. Step 2: Convert to fraction form
    23,642.67/35,636.99 = 35,636.99/x
  3. Step 3: Cross multiply
    23,642.67x = 35,636.99 × 35,636.99
  4. Step 4: Simplify right side
    23,642.67x = 1,269,995,351.38
  5. Step 5: Solve for x
    x = 1,269,995,351.38/23,642.67
  6. Step 6: Final answer
    x = 53,716.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.