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Finding the Third Proportional to 1,999.69 and 3,165.75

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Solution

The third proportional to 1,999.69 and 3,165.75 is: 5,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.69 : 3,165.75 = 3,165.75 : x
  2. Step 2: Convert to fraction form
    1,999.69/3,165.75 = 3,165.75/x
  3. Step 3: Cross multiply
    1,999.69x = 3,165.75 × 3,165.75
  4. Step 4: Simplify right side
    1,999.69x = 10,021,973.06
  5. Step 5: Solve for x
    x = 10,021,973.06/1,999.69
  6. Step 6: Final answer
    x = 5,011.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.