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Finding the Third Proportional to 8,622.50 and 13,355.50

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Solution

The third proportional to 8,622.50 and 13,355.50 is: 20,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.50 : 13,355.50 = 13,355.50 : x
  2. Step 2: Convert to fraction form
    8,622.50/13,355.50 = 13,355.50/x
  3. Step 3: Cross multiply
    8,622.50x = 13,355.50 × 13,355.50
  4. Step 4: Simplify right side
    8,622.50x = 178,369,380.25
  5. Step 5: Solve for x
    x = 178,369,380.25/8,622.50
  6. Step 6: Final answer
    x = 20,686.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.