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Finding the Third Proportional to 25,545 and 54,582

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Solution

The third proportional to 25,545 and 54,582 is: 116,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,545 : 54,582 = 54,582 : x
  2. Step 2: Convert to fraction form
    25,545/54,582 = 54,582/x
  3. Step 3: Cross multiply
    25,545x = 54,582 × 54,582
  4. Step 4: Simplify right side
    25,545x = 2,979,194,724
  5. Step 5: Solve for x
    x = 2,979,194,724/25,545
  6. Step 6: Final answer
    x = 116,625.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.