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Finding the Third Proportional to 6,691.03 and 14,409.75

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Solution

The third proportional to 6,691.03 and 14,409.75 is: 31,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.03 : 14,409.75 = 14,409.75 : x
  2. Step 2: Convert to fraction form
    6,691.03/14,409.75 = 14,409.75/x
  3. Step 3: Cross multiply
    6,691.03x = 14,409.75 × 14,409.75
  4. Step 4: Simplify right side
    6,691.03x = 207,640,895.06
  5. Step 5: Solve for x
    x = 207,640,895.06/6,691.03
  6. Step 6: Final answer
    x = 31,032.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.