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Finding the Third Proportional to 9,956.25 and 14,706.56

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Solution

The third proportional to 9,956.25 and 14,706.56 is: 21,723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.25 : 14,706.56 = 14,706.56 : x
  2. Step 2: Convert to fraction form
    9,956.25/14,706.56 = 14,706.56/x
  3. Step 3: Cross multiply
    9,956.25x = 14,706.56 × 14,706.56
  4. Step 4: Simplify right side
    9,956.25x = 216,282,980.57
  5. Step 5: Solve for x
    x = 216,282,980.57/9,956.25
  6. Step 6: Final answer
    x = 21,723.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.