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Finding the Third Proportional to 5,486.06 and 7,294.22

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Solution

The third proportional to 5,486.06 and 7,294.22 is: 9,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.06 : 7,294.22 = 7,294.22 : x
  2. Step 2: Convert to fraction form
    5,486.06/7,294.22 = 7,294.22/x
  3. Step 3: Cross multiply
    5,486.06x = 7,294.22 × 7,294.22
  4. Step 4: Simplify right side
    5,486.06x = 53,205,627.17
  5. Step 5: Solve for x
    x = 53,205,627.17/5,486.06
  6. Step 6: Final answer
    x = 9,698.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.