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Finding the Third Proportional to 6,130.51 and 9,195.77

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Solution

The third proportional to 6,130.51 and 9,195.77 is: 13,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.51 : 9,195.77 = 9,195.77 : x
  2. Step 2: Convert to fraction form
    6,130.51/9,195.77 = 9,195.77/x
  3. Step 3: Cross multiply
    6,130.51x = 9,195.77 × 9,195.77
  4. Step 4: Simplify right side
    6,130.51x = 84,562,217.12
  5. Step 5: Solve for x
    x = 84,562,217.12/6,130.51
  6. Step 6: Final answer
    x = 13,793.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.