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Finding the Third Proportional to 13,099.22 and 28,282.92

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Solution

The third proportional to 13,099.22 and 28,282.92 is: 61,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.22 : 28,282.92 = 28,282.92 : x
  2. Step 2: Convert to fraction form
    13,099.22/28,282.92 = 28,282.92/x
  3. Step 3: Cross multiply
    13,099.22x = 28,282.92 × 28,282.92
  4. Step 4: Simplify right side
    13,099.22x = 799,923,669.79
  5. Step 5: Solve for x
    x = 799,923,669.79/13,099.22
  6. Step 6: Final answer
    x = 61,066.52

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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.