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Finding the Third Proportional to 31,650.75 and 49,420.13

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Solution

The third proportional to 31,650.75 and 49,420.13 is: 77,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,650.75 : 49,420.13 = 49,420.13 : x
  2. Step 2: Convert to fraction form
    31,650.75/49,420.13 = 49,420.13/x
  3. Step 3: Cross multiply
    31,650.75x = 49,420.13 × 49,420.13
  4. Step 4: Simplify right side
    31,650.75x = 2,442,348,755.02
  5. Step 5: Solve for x
    x = 2,442,348,755.02/31,650.75
  6. Step 6: Final answer
    x = 77,165.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.