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Finding the Third Proportional to 9,263.53 and 13,976.72

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Solution

The third proportional to 9,263.53 and 13,976.72 is: 21,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.53 : 13,976.72 = 13,976.72 : x
  2. Step 2: Convert to fraction form
    9,263.53/13,976.72 = 13,976.72/x
  3. Step 3: Cross multiply
    9,263.53x = 13,976.72 × 13,976.72
  4. Step 4: Simplify right side
    9,263.53x = 195,348,667.02
  5. Step 5: Solve for x
    x = 195,348,667.02/9,263.53
  6. Step 6: Final answer
    x = 21,087.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.