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Finding the Third Proportional to 1,508.06 and 3,180.38

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Solution

The third proportional to 1,508.06 and 3,180.38 is: 6,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.06 : 3,180.38 = 3,180.38 : x
  2. Step 2: Convert to fraction form
    1,508.06/3,180.38 = 3,180.38/x
  3. Step 3: Cross multiply
    1,508.06x = 3,180.38 × 3,180.38
  4. Step 4: Simplify right side
    1,508.06x = 10,114,785.14
  5. Step 5: Solve for x
    x = 10,114,785.14/1,508.06
  6. Step 6: Final answer
    x = 6,707.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.