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Finding the Third Proportional to 33,969.94 and 49,955.91

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Solution

The third proportional to 33,969.94 and 49,955.91 is: 73,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969.94 : 49,955.91 = 49,955.91 : x
  2. Step 2: Convert to fraction form
    33,969.94/49,955.91 = 49,955.91/x
  3. Step 3: Cross multiply
    33,969.94x = 49,955.91 × 49,955.91
  4. Step 4: Simplify right side
    33,969.94x = 2,495,592,569.26
  5. Step 5: Solve for x
    x = 2,495,592,569.26/33,969.94
  6. Step 6: Final answer
    x = 73,464.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.