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Finding the Third Proportional to 1,999.88 and 3,113.06

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Solution

The third proportional to 1,999.88 and 3,113.06 is: 4,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.88 : 3,113.06 = 3,113.06 : x
  2. Step 2: Convert to fraction form
    1,999.88/3,113.06 = 3,113.06/x
  3. Step 3: Cross multiply
    1,999.88x = 3,113.06 × 3,113.06
  4. Step 4: Simplify right side
    1,999.88x = 9,691,158.13
  5. Step 5: Solve for x
    x = 9,691,158.13/1,999.88
  6. Step 6: Final answer
    x = 4,845.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.