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Finding the Third Proportional to 6,733.13 and 15,845.63

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Solution

The third proportional to 6,733.13 and 15,845.63 is: 37,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.13 : 15,845.63 = 15,845.63 : x
  2. Step 2: Convert to fraction form
    6,733.13/15,845.63 = 15,845.63/x
  3. Step 3: Cross multiply
    6,733.13x = 15,845.63 × 15,845.63
  4. Step 4: Simplify right side
    6,733.13x = 251,083,831.64
  5. Step 5: Solve for x
    x = 251,083,831.64/6,733.13
  6. Step 6: Final answer
    x = 37,290.83

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.