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Finding the Third Proportional to 2,700.21 and 3,628.86

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Solution

The third proportional to 2,700.21 and 3,628.86 is: 4,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.21 : 3,628.86 = 3,628.86 : x
  2. Step 2: Convert to fraction form
    2,700.21/3,628.86 = 3,628.86/x
  3. Step 3: Cross multiply
    2,700.21x = 3,628.86 × 3,628.86
  4. Step 4: Simplify right side
    2,700.21x = 13,168,648.71
  5. Step 5: Solve for x
    x = 13,168,648.71/2,700.21
  6. Step 6: Final answer
    x = 4,876.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.