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Finding the Third Proportional to 27,402.75 and 43,636.78

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Solution

The third proportional to 27,402.75 and 43,636.78 is: 69,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.75 : 43,636.78 = 43,636.78 : x
  2. Step 2: Convert to fraction form
    27,402.75/43,636.78 = 43,636.78/x
  3. Step 3: Cross multiply
    27,402.75x = 43,636.78 × 43,636.78
  4. Step 4: Simplify right side
    27,402.75x = 1,904,168,677.86
  5. Step 5: Solve for x
    x = 1,904,168,677.86/27,402.75
  6. Step 6: Final answer
    x = 69,488.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.