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Finding the Third Proportional to 6,078.75 and 9,523.13

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Solution

The third proportional to 6,078.75 and 9,523.13 is: 14,919.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.75 : 9,523.13 = 9,523.13 : x
  2. Step 2: Convert to fraction form
    6,078.75/9,523.13 = 9,523.13/x
  3. Step 3: Cross multiply
    6,078.75x = 9,523.13 × 9,523.13
  4. Step 4: Simplify right side
    6,078.75x = 90,689,909.77
  5. Step 5: Solve for x
    x = 90,689,909.77/6,078.75
  6. Step 6: Final answer
    x = 14,919.17

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.