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Finding the Third Proportional to 1,999.13 and 5,412.38

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Solution

The third proportional to 1,999.13 and 5,412.38 is: 14,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.13 : 5,412.38 = 5,412.38 : x
  2. Step 2: Convert to fraction form
    1,999.13/5,412.38 = 5,412.38/x
  3. Step 3: Cross multiply
    1,999.13x = 5,412.38 × 5,412.38
  4. Step 4: Simplify right side
    1,999.13x = 29,293,803.14
  5. Step 5: Solve for x
    x = 29,293,803.14/1,999.13
  6. Step 6: Final answer
    x = 14,653.31

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.