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Finding the Third Proportional to 2,836.69 and 4,552.03

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Solution

The third proportional to 2,836.69 and 4,552.03 is: 7,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836.69 : 4,552.03 = 4,552.03 : x
  2. Step 2: Convert to fraction form
    2,836.69/4,552.03 = 4,552.03/x
  3. Step 3: Cross multiply
    2,836.69x = 4,552.03 × 4,552.03
  4. Step 4: Simplify right side
    2,836.69x = 20,720,988.50
  5. Step 5: Solve for x
    x = 20,720,988.50/2,836.69
  6. Step 6: Final answer
    x = 7,304.64

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.