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Finding the Third Proportional to 6,504.05 and 9,613.69

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Solution

The third proportional to 6,504.05 and 9,613.69 is: 14,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.05 : 9,613.69 = 9,613.69 : x
  2. Step 2: Convert to fraction form
    6,504.05/9,613.69 = 9,613.69/x
  3. Step 3: Cross multiply
    6,504.05x = 9,613.69 × 9,613.69
  4. Step 4: Simplify right side
    6,504.05x = 92,422,987.35
  5. Step 5: Solve for x
    x = 92,422,987.35/6,504.05
  6. Step 6: Final answer
    x = 14,210.07

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.