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Finding the Third Proportional to 12,127.22 and 18,116.02

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Solution

The third proportional to 12,127.22 and 18,116.02 is: 27,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.22 : 18,116.02 = 18,116.02 : x
  2. Step 2: Convert to fraction form
    12,127.22/18,116.02 = 18,116.02/x
  3. Step 3: Cross multiply
    12,127.22x = 18,116.02 × 18,116.02
  4. Step 4: Simplify right side
    12,127.22x = 328,190,022.13
  5. Step 5: Solve for x
    x = 328,190,022.13/12,127.22
  6. Step 6: Final answer
    x = 27,062.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.