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Finding the Third Proportional to 5,623.13 and 8,010.19

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Solution

The third proportional to 5,623.13 and 8,010.19 is: 11,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.13 : 8,010.19 = 8,010.19 : x
  2. Step 2: Convert to fraction form
    5,623.13/8,010.19 = 8,010.19/x
  3. Step 3: Cross multiply
    5,623.13x = 8,010.19 × 8,010.19
  4. Step 4: Simplify right side
    5,623.13x = 64,163,103.79
  5. Step 5: Solve for x
    x = 64,163,103.79/5,623.13
  6. Step 6: Final answer
    x = 11,410.58

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.