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Finding the Third Proportional to 3,655.13 and 6,009.19

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Solution

The third proportional to 3,655.13 and 6,009.19 is: 9,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.13 : 6,009.19 = 6,009.19 : x
  2. Step 2: Convert to fraction form
    3,655.13/6,009.19 = 6,009.19/x
  3. Step 3: Cross multiply
    3,655.13x = 6,009.19 × 6,009.19
  4. Step 4: Simplify right side
    3,655.13x = 36,110,334.41
  5. Step 5: Solve for x
    x = 36,110,334.41/3,655.13
  6. Step 6: Final answer
    x = 9,879.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.