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Finding the Third Proportional to 6,175.13 and 12,039.75

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Solution

The third proportional to 6,175.13 and 12,039.75 is: 23,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.13 : 12,039.75 = 12,039.75 : x
  2. Step 2: Convert to fraction form
    6,175.13/12,039.75 = 12,039.75/x
  3. Step 3: Cross multiply
    6,175.13x = 12,039.75 × 12,039.75
  4. Step 4: Simplify right side
    6,175.13x = 144,955,580.06
  5. Step 5: Solve for x
    x = 144,955,580.06/6,175.13
  6. Step 6: Final answer
    x = 23,474.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.