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Finding the Third Proportional to 16,000.50 and 22,522.50

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Solution

The third proportional to 16,000.50 and 22,522.50 is: 31,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.50 : 22,522.50 = 22,522.50 : x
  2. Step 2: Convert to fraction form
    16,000.50/22,522.50 = 22,522.50/x
  3. Step 3: Cross multiply
    16,000.50x = 22,522.50 × 22,522.50
  4. Step 4: Simplify right side
    16,000.50x = 507,263,006.25
  5. Step 5: Solve for x
    x = 507,263,006.25/16,000.50
  6. Step 6: Final answer
    x = 31,702.95

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