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Finding the Third Proportional to 25,906.50 and 54,423

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Solution

The third proportional to 25,906.50 and 54,423 is: 114,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.50 : 54,423 = 54,423 : x
  2. Step 2: Convert to fraction form
    25,906.50/54,423 = 54,423/x
  3. Step 3: Cross multiply
    25,906.50x = 54,423 × 54,423
  4. Step 4: Simplify right side
    25,906.50x = 2,961,862,929
  5. Step 5: Solve for x
    x = 2,961,862,929/25,906.50
  6. Step 6: Final answer
    x = 114,328.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.