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Finding the Third Proportional to 27,072.75 and 42,433.13

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Solution

The third proportional to 27,072.75 and 42,433.13 is: 66,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072.75 : 42,433.13 = 42,433.13 : x
  2. Step 2: Convert to fraction form
    27,072.75/42,433.13 = 42,433.13/x
  3. Step 3: Cross multiply
    27,072.75x = 42,433.13 × 42,433.13
  4. Step 4: Simplify right side
    27,072.75x = 1,800,570,097.27
  5. Step 5: Solve for x
    x = 1,800,570,097.27/27,072.75
  6. Step 6: Final answer
    x = 66,508.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.