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Finding the Third Proportional to 33,913.69 and 47,476.13

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Solution

The third proportional to 33,913.69 and 47,476.13 is: 66,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913.69 : 47,476.13 = 47,476.13 : x
  2. Step 2: Convert to fraction form
    33,913.69/47,476.13 = 47,476.13/x
  3. Step 3: Cross multiply
    33,913.69x = 47,476.13 × 47,476.13
  4. Step 4: Simplify right side
    33,913.69x = 2,253,982,445.02
  5. Step 5: Solve for x
    x = 2,253,982,445.02/33,913.69
  6. Step 6: Final answer
    x = 66,462.32

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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.