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Finding the Third Proportional to 26,026.50 and 56,424

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Solution

The third proportional to 26,026.50 and 56,424 is: 122,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026.50 : 56,424 = 56,424 : x
  2. Step 2: Convert to fraction form
    26,026.50/56,424 = 56,424/x
  3. Step 3: Cross multiply
    26,026.50x = 56,424 × 56,424
  4. Step 4: Simplify right side
    26,026.50x = 3,183,667,776
  5. Step 5: Solve for x
    x = 3,183,667,776/26,026.50
  6. Step 6: Final answer
    x = 122,324.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.