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Finding the Third Proportional to 23,409 and 35,781.75

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Solution

The third proportional to 23,409 and 35,781.75 is: 54,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409 : 35,781.75 = 35,781.75 : x
  2. Step 2: Convert to fraction form
    23,409/35,781.75 = 35,781.75/x
  3. Step 3: Cross multiply
    23,409x = 35,781.75 × 35,781.75
  4. Step 4: Simplify right side
    23,409x = 1,280,333,633.06
  5. Step 5: Solve for x
    x = 1,280,333,633.06/23,409
  6. Step 6: Final answer
    x = 54,694.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.