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Finding the Third Proportional to 6,308.13 and 13,269.69

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Solution

The third proportional to 6,308.13 and 13,269.69 is: 27,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.13 : 13,269.69 = 13,269.69 : x
  2. Step 2: Convert to fraction form
    6,308.13/13,269.69 = 13,269.69/x
  3. Step 3: Cross multiply
    6,308.13x = 13,269.69 × 13,269.69
  4. Step 4: Simplify right side
    6,308.13x = 176,084,606.35
  5. Step 5: Solve for x
    x = 176,084,606.35/6,308.13
  6. Step 6: Final answer
    x = 27,913.94

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.