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Finding the Third Proportional to 9,734.06 and 14,922.56

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Solution

The third proportional to 9,734.06 and 14,922.56 is: 22,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.06 : 14,922.56 = 14,922.56 : x
  2. Step 2: Convert to fraction form
    9,734.06/14,922.56 = 14,922.56/x
  3. Step 3: Cross multiply
    9,734.06x = 14,922.56 × 14,922.56
  4. Step 4: Simplify right side
    9,734.06x = 222,682,871.57
  5. Step 5: Solve for x
    x = 222,682,871.57/9,734.06
  6. Step 6: Final answer
    x = 22,876.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.