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Finding the Third Proportional to 7,110.60 and 10,408.90

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Solution

The third proportional to 7,110.60 and 10,408.90 is: 15,237.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.60 : 10,408.90 = 10,408.90 : x
  2. Step 2: Convert to fraction form
    7,110.60/10,408.90 = 10,408.90/x
  3. Step 3: Cross multiply
    7,110.60x = 10,408.90 × 10,408.90
  4. Step 4: Simplify right side
    7,110.60x = 108,345,105.69
  5. Step 5: Solve for x
    x = 108,345,105.69/7,110.60
  6. Step 6: Final answer
    x = 15,237.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.