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Finding the Third Proportional to 30,661.13 and 41,204.63

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Solution

The third proportional to 30,661.13 and 41,204.63 is: 55,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.13 : 41,204.63 = 41,204.63 : x
  2. Step 2: Convert to fraction form
    30,661.13/41,204.63 = 41,204.63/x
  3. Step 3: Cross multiply
    30,661.13x = 41,204.63 × 41,204.63
  4. Step 4: Simplify right side
    30,661.13x = 1,697,821,121.39
  5. Step 5: Solve for x
    x = 1,697,821,121.39/30,661.13
  6. Step 6: Final answer
    x = 55,373.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.