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Finding the Third Proportional to 40,024.50 and 92,649.75

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Solution

The third proportional to 40,024.50 and 92,649.75 is: 214,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,024.50 : 92,649.75 = 92,649.75 : x
  2. Step 2: Convert to fraction form
    40,024.50/92,649.75 = 92,649.75/x
  3. Step 3: Cross multiply
    40,024.50x = 92,649.75 × 92,649.75
  4. Step 4: Simplify right side
    40,024.50x = 8,583,976,175.06
  5. Step 5: Solve for x
    x = 8,583,976,175.06/40,024.50
  6. Step 6: Final answer
    x = 214,468.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.