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Finding the Third Proportional to 5,486.06 and 6,026.06

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Solution

The third proportional to 5,486.06 and 6,026.06 is: 6,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.06 : 6,026.06 = 6,026.06 : x
  2. Step 2: Convert to fraction form
    5,486.06/6,026.06 = 6,026.06/x
  3. Step 3: Cross multiply
    5,486.06x = 6,026.06 × 6,026.06
  4. Step 4: Simplify right side
    5,486.06x = 36,313,429.25
  5. Step 5: Solve for x
    x = 36,313,429.25/5,486.06
  6. Step 6: Final answer
    x = 6,619.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.