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Finding the Third Proportional to 2,699.58 and 3,449.46

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Solution

The third proportional to 2,699.58 and 3,449.46 is: 4,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.58 : 3,449.46 = 3,449.46 : x
  2. Step 2: Convert to fraction form
    2,699.58/3,449.46 = 3,449.46/x
  3. Step 3: Cross multiply
    2,699.58x = 3,449.46 × 3,449.46
  4. Step 4: Simplify right side
    2,699.58x = 11,898,780.76
  5. Step 5: Solve for x
    x = 11,898,780.76/2,699.58
  6. Step 6: Final answer
    x = 4,407.64

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.