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Finding the Third Proportional to 6,806.95 and 14,956.31

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Solution

The third proportional to 6,806.95 and 14,956.31 is: 32,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.95 : 14,956.31 = 14,956.31 : x
  2. Step 2: Convert to fraction form
    6,806.95/14,956.31 = 14,956.31/x
  3. Step 3: Cross multiply
    6,806.95x = 14,956.31 × 14,956.31
  4. Step 4: Simplify right side
    6,806.95x = 223,691,283.60
  5. Step 5: Solve for x
    x = 223,691,283.60/6,806.95
  6. Step 6: Final answer
    x = 32,862.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.