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Finding the Third Proportional to 13,103.44 and 28,284.19

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Solution

The third proportional to 13,103.44 and 28,284.19 is: 61,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.44 : 28,284.19 = 28,284.19 : x
  2. Step 2: Convert to fraction form
    13,103.44/28,284.19 = 28,284.19/x
  3. Step 3: Cross multiply
    13,103.44x = 28,284.19 × 28,284.19
  4. Step 4: Simplify right side
    13,103.44x = 799,995,262.54
  5. Step 5: Solve for x
    x = 799,995,262.54/13,103.44
  6. Step 6: Final answer
    x = 61,052.32

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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.