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Finding the Third Proportional to 3,566.06 and 4,732.88

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Solution

The third proportional to 3,566.06 and 4,732.88 is: 6,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.06 : 4,732.88 = 4,732.88 : x
  2. Step 2: Convert to fraction form
    3,566.06/4,732.88 = 4,732.88/x
  3. Step 3: Cross multiply
    3,566.06x = 4,732.88 × 4,732.88
  4. Step 4: Simplify right side
    3,566.06x = 22,400,105.77
  5. Step 5: Solve for x
    x = 22,400,105.77/3,566.06
  6. Step 6: Final answer
    x = 6,281.47

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.