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Finding the Third Proportional to 2,756.81 and 4,455.84

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Solution

The third proportional to 2,756.81 and 4,455.84 is: 7,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.81 : 4,455.84 = 4,455.84 : x
  2. Step 2: Convert to fraction form
    2,756.81/4,455.84 = 4,455.84/x
  3. Step 3: Cross multiply
    2,756.81x = 4,455.84 × 4,455.84
  4. Step 4: Simplify right side
    2,756.81x = 19,854,543.52
  5. Step 5: Solve for x
    x = 19,854,543.52/2,756.81
  6. Step 6: Final answer
    x = 7,201.99

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.