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Finding the Third Proportional to 15,463.84 and 33,743.66

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Solution

The third proportional to 15,463.84 and 33,743.66 is: 73,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463.84 : 33,743.66 = 33,743.66 : x
  2. Step 2: Convert to fraction form
    15,463.84/33,743.66 = 33,743.66/x
  3. Step 3: Cross multiply
    15,463.84x = 33,743.66 × 33,743.66
  4. Step 4: Simplify right side
    15,463.84x = 1,138,634,501.88
  5. Step 5: Solve for x
    x = 1,138,634,501.88/15,463.84
  6. Step 6: Final answer
    x = 73,632.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.