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Finding the Third Proportional to 7,522.50 and 11,794.50

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Solution

The third proportional to 7,522.50 and 11,794.50 is: 18,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.50 : 11,794.50 = 11,794.50 : x
  2. Step 2: Convert to fraction form
    7,522.50/11,794.50 = 11,794.50/x
  3. Step 3: Cross multiply
    7,522.50x = 11,794.50 × 11,794.50
  4. Step 4: Simplify right side
    7,522.50x = 139,110,230.25
  5. Step 5: Solve for x
    x = 139,110,230.25/7,522.50
  6. Step 6: Final answer
    x = 18,492.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.