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Finding the Third Proportional to 25,476 and 56,027

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Solution

The third proportional to 25,476 and 56,027 is: 123,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476 : 56,027 = 56,027 : x
  2. Step 2: Convert to fraction form
    25,476/56,027 = 56,027/x
  3. Step 3: Cross multiply
    25,476x = 56,027 × 56,027
  4. Step 4: Simplify right side
    25,476x = 3,139,024,729
  5. Step 5: Solve for x
    x = 3,139,024,729/25,476
  6. Step 6: Final answer
    x = 123,214.98

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Why These Related Problems?

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