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Finding the Third Proportional to 25,213 and 54,962

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Solution

The third proportional to 25,213 and 54,962 is: 119,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,213 : 54,962 = 54,962 : x
  2. Step 2: Convert to fraction form
    25,213/54,962 = 54,962/x
  3. Step 3: Cross multiply
    25,213x = 54,962 × 54,962
  4. Step 4: Simplify right side
    25,213x = 3,020,821,444
  5. Step 5: Solve for x
    x = 3,020,821,444/25,213
  6. Step 6: Final answer
    x = 119,812.06

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Why These Related Problems?

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