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Finding the Third Proportional to 25,463 and 55,948

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Solution

The third proportional to 25,463 and 55,948 is: 122,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,463 : 55,948 = 55,948 : x
  2. Step 2: Convert to fraction form
    25,463/55,948 = 55,948/x
  3. Step 3: Cross multiply
    25,463x = 55,948 × 55,948
  4. Step 4: Simplify right side
    25,463x = 3,130,178,704
  5. Step 5: Solve for x
    x = 3,130,178,704/25,463
  6. Step 6: Final answer
    x = 122,930.48

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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.