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Finding the Third Proportional to 2,310.19 and 5,135.06

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Solution

The third proportional to 2,310.19 and 5,135.06 is: 11,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.19 : 5,135.06 = 5,135.06 : x
  2. Step 2: Convert to fraction form
    2,310.19/5,135.06 = 5,135.06/x
  3. Step 3: Cross multiply
    2,310.19x = 5,135.06 × 5,135.06
  4. Step 4: Simplify right side
    2,310.19x = 26,368,866.88
  5. Step 5: Solve for x
    x = 26,368,866.88/2,310.19
  6. Step 6: Final answer
    x = 11,414.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.