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Finding the Third Proportional to 8,635.50 and 13,647.75

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Solution

The third proportional to 8,635.50 and 13,647.75 is: 21,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.50 : 13,647.75 = 13,647.75 : x
  2. Step 2: Convert to fraction form
    8,635.50/13,647.75 = 13,647.75/x
  3. Step 3: Cross multiply
    8,635.50x = 13,647.75 × 13,647.75
  4. Step 4: Simplify right side
    8,635.50x = 186,261,080.06
  5. Step 5: Solve for x
    x = 186,261,080.06/8,635.50
  6. Step 6: Final answer
    x = 21,569.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.