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Finding the Third Proportional to 25,826.34 and 56,603.81

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Solution

The third proportional to 25,826.34 and 56,603.81 is: 124,059.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.34 : 56,603.81 = 56,603.81 : x
  2. Step 2: Convert to fraction form
    25,826.34/56,603.81 = 56,603.81/x
  3. Step 3: Cross multiply
    25,826.34x = 56,603.81 × 56,603.81
  4. Step 4: Simplify right side
    25,826.34x = 3,203,991,589.54
  5. Step 5: Solve for x
    x = 3,203,991,589.54/25,826.34
  6. Step 6: Final answer
    x = 124,059.05

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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.