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Finding the Third Proportional to 3,039.61 and 6,565.22

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Solution

The third proportional to 3,039.61 and 6,565.22 is: 14,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.61 : 6,565.22 = 6,565.22 : x
  2. Step 2: Convert to fraction form
    3,039.61/6,565.22 = 6,565.22/x
  3. Step 3: Cross multiply
    3,039.61x = 6,565.22 × 6,565.22
  4. Step 4: Simplify right side
    3,039.61x = 43,102,097.24
  5. Step 5: Solve for x
    x = 43,102,097.24/3,039.61
  6. Step 6: Final answer
    x = 14,180.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.