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Finding the Third Proportional to 8,523 and 13,621.50

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Solution

The third proportional to 8,523 and 13,621.50 is: 21,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523 : 13,621.50 = 13,621.50 : x
  2. Step 2: Convert to fraction form
    8,523/13,621.50 = 13,621.50/x
  3. Step 3: Cross multiply
    8,523x = 13,621.50 × 13,621.50
  4. Step 4: Simplify right side
    8,523x = 185,545,262.25
  5. Step 5: Solve for x
    x = 185,545,262.25/8,523
  6. Step 6: Final answer
    x = 21,769.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.