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Finding the Third Proportional to 25,583 and 54,208

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Solution

The third proportional to 25,583 and 54,208 is: 114,861.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,583 : 54,208 = 54,208 : x
  2. Step 2: Convert to fraction form
    25,583/54,208 = 54,208/x
  3. Step 3: Cross multiply
    25,583x = 54,208 × 54,208
  4. Step 4: Simplify right side
    25,583x = 2,938,507,264
  5. Step 5: Solve for x
    x = 2,938,507,264/25,583
  6. Step 6: Final answer
    x = 114,861.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.