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Finding the Third Proportional to 3,384.56 and 4,922.72

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Solution

The third proportional to 3,384.56 and 4,922.72 is: 7,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.56 : 4,922.72 = 4,922.72 : x
  2. Step 2: Convert to fraction form
    3,384.56/4,922.72 = 4,922.72/x
  3. Step 3: Cross multiply
    3,384.56x = 4,922.72 × 4,922.72
  4. Step 4: Simplify right side
    3,384.56x = 24,233,159.89
  5. Step 5: Solve for x
    x = 24,233,159.89/3,384.56
  6. Step 6: Final answer
    x = 7,159.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.