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Finding the Third Proportional to 33,625.13 and 47,125.13

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Solution

The third proportional to 33,625.13 and 47,125.13 is: 66,045.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,625.13 : 47,125.13 = 47,125.13 : x
  2. Step 2: Convert to fraction form
    33,625.13/47,125.13 = 47,125.13/x
  3. Step 3: Cross multiply
    33,625.13x = 47,125.13 × 47,125.13
  4. Step 4: Simplify right side
    33,625.13x = 2,220,777,406.27
  5. Step 5: Solve for x
    x = 2,220,777,406.27/33,625.13
  6. Step 6: Final answer
    x = 66,045.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.