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Finding the Third Proportional to 3,164.06 and 4,557.52

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Solution

The third proportional to 3,164.06 and 4,557.52 is: 6,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.06 : 4,557.52 = 4,557.52 : x
  2. Step 2: Convert to fraction form
    3,164.06/4,557.52 = 4,557.52/x
  3. Step 3: Cross multiply
    3,164.06x = 4,557.52 × 4,557.52
  4. Step 4: Simplify right side
    3,164.06x = 20,770,948.67
  5. Step 5: Solve for x
    x = 20,770,948.67/3,164.06
  6. Step 6: Final answer
    x = 6,564.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.