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Finding the Third Proportional to 26,914.78 and 59,023.69

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Solution

The third proportional to 26,914.78 and 59,023.69 is: 129,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914.78 : 59,023.69 = 59,023.69 : x
  2. Step 2: Convert to fraction form
    26,914.78/59,023.69 = 59,023.69/x
  3. Step 3: Cross multiply
    26,914.78x = 59,023.69 × 59,023.69
  4. Step 4: Simplify right side
    26,914.78x = 3,483,795,686.10
  5. Step 5: Solve for x
    x = 3,483,795,686.10/26,914.78
  6. Step 6: Final answer
    x = 129,438.01

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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.