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Finding the Third Proportional to 25,889 and 56,482

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Solution

The third proportional to 25,889 and 56,482 is: 123,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889 : 56,482 = 56,482 : x
  2. Step 2: Convert to fraction form
    25,889/56,482 = 56,482/x
  3. Step 3: Cross multiply
    25,889x = 56,482 × 56,482
  4. Step 4: Simplify right side
    25,889x = 3,190,216,324
  5. Step 5: Solve for x
    x = 3,190,216,324/25,889
  6. Step 6: Final answer
    x = 123,226.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.