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Finding the Third Proportional to 12,322.13 and 26,998.31

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Solution

The third proportional to 12,322.13 and 26,998.31 is: 59,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.13 : 26,998.31 = 26,998.31 : x
  2. Step 2: Convert to fraction form
    12,322.13/26,998.31 = 26,998.31/x
  3. Step 3: Cross multiply
    12,322.13x = 26,998.31 × 26,998.31
  4. Step 4: Simplify right side
    12,322.13x = 728,908,877.85
  5. Step 5: Solve for x
    x = 728,908,877.85/12,322.13
  6. Step 6: Final answer
    x = 59,154.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.