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Finding the Third Proportional to 2,602.76 and 3,996.21

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Solution

The third proportional to 2,602.76 and 3,996.21 is: 6,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.76 : 3,996.21 = 3,996.21 : x
  2. Step 2: Convert to fraction form
    2,602.76/3,996.21 = 3,996.21/x
  3. Step 3: Cross multiply
    2,602.76x = 3,996.21 × 3,996.21
  4. Step 4: Simplify right side
    2,602.76x = 15,969,701.86
  5. Step 5: Solve for x
    x = 15,969,701.86/2,602.76
  6. Step 6: Final answer
    x = 6,135.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.