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Finding the Third Proportional to 4,384.13 and 7,089.19

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Solution

The third proportional to 4,384.13 and 7,089.19 is: 11,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.13 : 7,089.19 = 7,089.19 : x
  2. Step 2: Convert to fraction form
    4,384.13/7,089.19 = 7,089.19/x
  3. Step 3: Cross multiply
    4,384.13x = 7,089.19 × 7,089.19
  4. Step 4: Simplify right side
    4,384.13x = 50,256,579.41
  5. Step 5: Solve for x
    x = 50,256,579.41/4,384.13
  6. Step 6: Final answer
    x = 11,463.31

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.