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Finding the Third Proportional to 6,516.75 and 14,301.75

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Solution

The third proportional to 6,516.75 and 14,301.75 is: 31,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.75 : 14,301.75 = 14,301.75 : x
  2. Step 2: Convert to fraction form
    6,516.75/14,301.75 = 14,301.75/x
  3. Step 3: Cross multiply
    6,516.75x = 14,301.75 × 14,301.75
  4. Step 4: Simplify right side
    6,516.75x = 204,540,053.06
  5. Step 5: Solve for x
    x = 204,540,053.06/6,516.75
  6. Step 6: Final answer
    x = 31,386.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.