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Finding the Third Proportional to 8,810.25 and 12,884.63

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Solution

The third proportional to 8,810.25 and 12,884.63 is: 18,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,810.25 : 12,884.63 = 12,884.63 : x
  2. Step 2: Convert to fraction form
    8,810.25/12,884.63 = 12,884.63/x
  3. Step 3: Cross multiply
    8,810.25x = 12,884.63 × 12,884.63
  4. Step 4: Simplify right side
    8,810.25x = 166,013,561.39
  5. Step 5: Solve for x
    x = 166,013,561.39/8,810.25
  6. Step 6: Final answer
    x = 18,843.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.