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Finding the Third Proportional to 8,824.50 and 13,412.25

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Solution

The third proportional to 8,824.50 and 13,412.25 is: 20,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,824.50 : 13,412.25 = 13,412.25 : x
  2. Step 2: Convert to fraction form
    8,824.50/13,412.25 = 13,412.25/x
  3. Step 3: Cross multiply
    8,824.50x = 13,412.25 × 13,412.25
  4. Step 4: Simplify right side
    8,824.50x = 179,888,450.06
  5. Step 5: Solve for x
    x = 179,888,450.06/8,824.50
  6. Step 6: Final answer
    x = 20,385.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.