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Finding the Third Proportional to 3,495.38 and 7,508.81

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Solution

The third proportional to 3,495.38 and 7,508.81 is: 16,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.38 : 7,508.81 = 7,508.81 : x
  2. Step 2: Convert to fraction form
    3,495.38/7,508.81 = 7,508.81/x
  3. Step 3: Cross multiply
    3,495.38x = 7,508.81 × 7,508.81
  4. Step 4: Simplify right side
    3,495.38x = 56,382,265.16
  5. Step 5: Solve for x
    x = 56,382,265.16/3,495.38
  6. Step 6: Final answer
    x = 16,130.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.