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Finding the Third Proportional to 2,365.69 and 3,555.30

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Solution

The third proportional to 2,365.69 and 3,555.30 is: 5,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.69 : 3,555.30 = 3,555.30 : x
  2. Step 2: Convert to fraction form
    2,365.69/3,555.30 = 3,555.30/x
  3. Step 3: Cross multiply
    2,365.69x = 3,555.30 × 3,555.30
  4. Step 4: Simplify right side
    2,365.69x = 12,640,149.76
  5. Step 5: Solve for x
    x = 12,640,149.76/2,365.69
  6. Step 6: Final answer
    x = 5,343.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.