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Finding the Third Proportional to 27,002.63 and 40,503.75

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Solution

The third proportional to 27,002.63 and 40,503.75 is: 60,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,002.63 : 40,503.75 = 40,503.75 : x
  2. Step 2: Convert to fraction form
    27,002.63/40,503.75 = 40,503.75/x
  3. Step 3: Cross multiply
    27,002.63x = 40,503.75 × 40,503.75
  4. Step 4: Simplify right side
    27,002.63x = 1,640,553,764.06
  5. Step 5: Solve for x
    x = 1,640,553,764.06/27,002.63
  6. Step 6: Final answer
    x = 60,755.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.