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Finding the Third Proportional to 7,346.48 and 11,202.21

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Solution

The third proportional to 7,346.48 and 11,202.21 is: 17,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.48 : 11,202.21 = 11,202.21 : x
  2. Step 2: Convert to fraction form
    7,346.48/11,202.21 = 11,202.21/x
  3. Step 3: Cross multiply
    7,346.48x = 11,202.21 × 11,202.21
  4. Step 4: Simplify right side
    7,346.48x = 125,489,398.61
  5. Step 5: Solve for x
    x = 125,489,398.61/7,346.48
  6. Step 6: Final answer
    x = 17,081.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.