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Finding the Third Proportional to 3,409.13 and 7,127.06

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Solution

The third proportional to 3,409.13 and 7,127.06 is: 14,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.13 : 7,127.06 = 7,127.06 : x
  2. Step 2: Convert to fraction form
    3,409.13/7,127.06 = 7,127.06/x
  3. Step 3: Cross multiply
    3,409.13x = 7,127.06 × 7,127.06
  4. Step 4: Simplify right side
    3,409.13x = 50,795,019.88
  5. Step 5: Solve for x
    x = 50,795,019.88/3,409.13
  6. Step 6: Final answer
    x = 14,899.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.