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Finding the Third Proportional to 4,451.06 and 9,615.94

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Solution

The third proportional to 4,451.06 and 9,615.94 is: 20,773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451.06 : 9,615.94 = 9,615.94 : x
  2. Step 2: Convert to fraction form
    4,451.06/9,615.94 = 9,615.94/x
  3. Step 3: Cross multiply
    4,451.06x = 9,615.94 × 9,615.94
  4. Step 4: Simplify right side
    4,451.06x = 92,466,254.00
  5. Step 5: Solve for x
    x = 92,466,254.00/4,451.06
  6. Step 6: Final answer
    x = 20,773.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.