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Finding the Third Proportional to 3,349.13 and 5,289.19

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Solution

The third proportional to 3,349.13 and 5,289.19 is: 8,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.13 : 5,289.19 = 5,289.19 : x
  2. Step 2: Convert to fraction form
    3,349.13/5,289.19 = 5,289.19/x
  3. Step 3: Cross multiply
    3,349.13x = 5,289.19 × 5,289.19
  4. Step 4: Simplify right side
    3,349.13x = 27,975,504.41
  5. Step 5: Solve for x
    x = 27,975,504.41/3,349.13
  6. Step 6: Final answer
    x = 8,353.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.