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Finding the Third Proportional to 12,227.25 and 26,798.63

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Solution

The third proportional to 12,227.25 and 26,798.63 is: 58,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.25 : 26,798.63 = 26,798.63 : x
  2. Step 2: Convert to fraction form
    12,227.25/26,798.63 = 26,798.63/x
  3. Step 3: Cross multiply
    12,227.25x = 26,798.63 × 26,798.63
  4. Step 4: Simplify right side
    12,227.25x = 718,166,301.89
  5. Step 5: Solve for x
    x = 718,166,301.89/12,227.25
  6. Step 6: Final answer
    x = 58,734.90

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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.