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Finding the Third Proportional to 6,094.13 and 13,187.81

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Solution

The third proportional to 6,094.13 and 13,187.81 is: 28,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.13 : 13,187.81 = 13,187.81 : x
  2. Step 2: Convert to fraction form
    6,094.13/13,187.81 = 13,187.81/x
  3. Step 3: Cross multiply
    6,094.13x = 13,187.81 × 13,187.81
  4. Step 4: Simplify right side
    6,094.13x = 173,918,398.54
  5. Step 5: Solve for x
    x = 173,918,398.54/6,094.13
  6. Step 6: Final answer
    x = 28,538.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.