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Finding the Third Proportional to 25,058 and 54,436

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Solution

The third proportional to 25,058 and 54,436 is: 118,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058 : 54,436 = 54,436 : x
  2. Step 2: Convert to fraction form
    25,058/54,436 = 54,436/x
  3. Step 3: Cross multiply
    25,058x = 54,436 × 54,436
  4. Step 4: Simplify right side
    25,058x = 2,963,278,096
  5. Step 5: Solve for x
    x = 2,963,278,096/25,058
  6. Step 6: Final answer
    x = 118,256.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.