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Finding the Third Proportional to 7,697.21 and 11,007.62

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Solution

The third proportional to 7,697.21 and 11,007.62 is: 15,741.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.21 : 11,007.62 = 11,007.62 : x
  2. Step 2: Convert to fraction form
    7,697.21/11,007.62 = 11,007.62/x
  3. Step 3: Cross multiply
    7,697.21x = 11,007.62 × 11,007.62
  4. Step 4: Simplify right side
    7,697.21x = 121,167,593.15
  5. Step 5: Solve for x
    x = 121,167,593.15/7,697.21
  6. Step 6: Final answer
    x = 15,741.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.