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Finding the Third Proportional to 25,488 and 56,052

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Solution

The third proportional to 25,488 and 56,052 is: 123,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,488 : 56,052 = 56,052 : x
  2. Step 2: Convert to fraction form
    25,488/56,052 = 56,052/x
  3. Step 3: Cross multiply
    25,488x = 56,052 × 56,052
  4. Step 4: Simplify right side
    25,488x = 3,141,826,704
  5. Step 5: Solve for x
    x = 3,141,826,704/25,488
  6. Step 6: Final answer
    x = 123,266.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.