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Finding the Third Proportional to 17,048.81 and 35,506.69

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Solution

The third proportional to 17,048.81 and 35,506.69 is: 73,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,048.81 : 35,506.69 = 35,506.69 : x
  2. Step 2: Convert to fraction form
    17,048.81/35,506.69 = 35,506.69/x
  3. Step 3: Cross multiply
    17,048.81x = 35,506.69 × 35,506.69
  4. Step 4: Simplify right side
    17,048.81x = 1,260,724,857.22
  5. Step 5: Solve for x
    x = 1,260,724,857.22/17,048.81
  6. Step 6: Final answer
    x = 73,947.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.