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Finding the Third Proportional to 33,969.38 and 49,955.06

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Solution

The third proportional to 33,969.38 and 49,955.06 is: 73,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,969.38 : 49,955.06 = 49,955.06 : x
  2. Step 2: Convert to fraction form
    33,969.38/49,955.06 = 49,955.06/x
  3. Step 3: Cross multiply
    33,969.38x = 49,955.06 × 49,955.06
  4. Step 4: Simplify right side
    33,969.38x = 2,495,508,269.38
  5. Step 5: Solve for x
    x = 2,495,508,269.38/33,969.38
  6. Step 6: Final answer
    x = 73,463.47

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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.