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Finding the Third Proportional to 24,900.75 and 33,625.13

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Solution

The third proportional to 24,900.75 and 33,625.13 is: 45,406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,900.75 : 33,625.13 = 33,625.13 : x
  2. Step 2: Convert to fraction form
    24,900.75/33,625.13 = 33,625.13/x
  3. Step 3: Cross multiply
    24,900.75x = 33,625.13 × 33,625.13
  4. Step 4: Simplify right side
    24,900.75x = 1,130,649,031.27
  5. Step 5: Solve for x
    x = 1,130,649,031.27/24,900.75
  6. Step 6: Final answer
    x = 45,406.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.