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Finding the Third Proportional to 7,610.77 and 11,813.63

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Solution

The third proportional to 7,610.77 and 11,813.63 is: 18,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.77 : 11,813.63 = 11,813.63 : x
  2. Step 2: Convert to fraction form
    7,610.77/11,813.63 = 11,813.63/x
  3. Step 3: Cross multiply
    7,610.77x = 11,813.63 × 11,813.63
  4. Step 4: Simplify right side
    7,610.77x = 139,561,735.64
  5. Step 5: Solve for x
    x = 139,561,735.64/7,610.77
  6. Step 6: Final answer
    x = 18,337.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.