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Finding the Third Proportional to 33,863.94 and 53,666.38

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Solution

The third proportional to 33,863.94 and 53,666.38 is: 85,048.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863.94 : 53,666.38 = 53,666.38 : x
  2. Step 2: Convert to fraction form
    33,863.94/53,666.38 = 53,666.38/x
  3. Step 3: Cross multiply
    33,863.94x = 53,666.38 × 53,666.38
  4. Step 4: Simplify right side
    33,863.94x = 2,880,079,805.64
  5. Step 5: Solve for x
    x = 2,880,079,805.64/33,863.94
  6. Step 6: Final answer
    x = 85,048.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.