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Finding the Third Proportional to 5,108.06 and 5,513.06

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Solution

The third proportional to 5,108.06 and 5,513.06 is: 5,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.06 : 5,513.06 = 5,513.06 : x
  2. Step 2: Convert to fraction form
    5,108.06/5,513.06 = 5,513.06/x
  3. Step 3: Cross multiply
    5,108.06x = 5,513.06 × 5,513.06
  4. Step 4: Simplify right side
    5,108.06x = 30,393,858.13
  5. Step 5: Solve for x
    x = 30,393,858.13/5,108.06
  6. Step 6: Final answer
    x = 5,950.17

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.