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Finding the Third Proportional to 6,539.91 and 10,032.19

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Solution

The third proportional to 6,539.91 and 10,032.19 is: 15,389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.91 : 10,032.19 = 10,032.19 : x
  2. Step 2: Convert to fraction form
    6,539.91/10,032.19 = 10,032.19/x
  3. Step 3: Cross multiply
    6,539.91x = 10,032.19 × 10,032.19
  4. Step 4: Simplify right side
    6,539.91x = 100,644,786.04
  5. Step 5: Solve for x
    x = 100,644,786.04/6,539.91
  6. Step 6: Final answer
    x = 15,389.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.