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Finding the Third Proportional to 7,322.75 and 15,704.82

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Solution

The third proportional to 7,322.75 and 15,704.82 is: 33,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.75 : 15,704.82 = 15,704.82 : x
  2. Step 2: Convert to fraction form
    7,322.75/15,704.82 = 15,704.82/x
  3. Step 3: Cross multiply
    7,322.75x = 15,704.82 × 15,704.82
  4. Step 4: Simplify right side
    7,322.75x = 246,641,503.74
  5. Step 5: Solve for x
    x = 246,641,503.74/7,322.75
  6. Step 6: Final answer
    x = 33,681.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.