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Finding the Third Proportional to 4,851.77 and 10,395.21

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Solution

The third proportional to 4,851.77 and 10,395.21 is: 22,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.77 : 10,395.21 = 10,395.21 : x
  2. Step 2: Convert to fraction form
    4,851.77/10,395.21 = 10,395.21/x
  3. Step 3: Cross multiply
    4,851.77x = 10,395.21 × 10,395.21
  4. Step 4: Simplify right side
    4,851.77x = 108,060,410.44
  5. Step 5: Solve for x
    x = 108,060,410.44/4,851.77
  6. Step 6: Final answer
    x = 22,272.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.