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Finding the Third Proportional to 18,123.75 and 25,522.50

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Solution

The third proportional to 18,123.75 and 25,522.50 is: 35,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,123.75 : 25,522.50 = 25,522.50 : x
  2. Step 2: Convert to fraction form
    18,123.75/25,522.50 = 25,522.50/x
  3. Step 3: Cross multiply
    18,123.75x = 25,522.50 × 25,522.50
  4. Step 4: Simplify right side
    18,123.75x = 651,398,006.25
  5. Step 5: Solve for x
    x = 651,398,006.25/18,123.75
  6. Step 6: Final answer
    x = 35,941.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.