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Finding the Third Proportional to 4,635.98 and 10,308.52

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Solution

The third proportional to 4,635.98 and 10,308.52 is: 22,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.98 : 10,308.52 = 10,308.52 : x
  2. Step 2: Convert to fraction form
    4,635.98/10,308.52 = 10,308.52/x
  3. Step 3: Cross multiply
    4,635.98x = 10,308.52 × 10,308.52
  4. Step 4: Simplify right side
    4,635.98x = 106,265,494.39
  5. Step 5: Solve for x
    x = 106,265,494.39/4,635.98
  6. Step 6: Final answer
    x = 22,921.88

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.