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Finding the Third Proportional to 10,735.03 and 16,420.22

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Solution

The third proportional to 10,735.03 and 16,420.22 is: 25,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.03 : 16,420.22 = 16,420.22 : x
  2. Step 2: Convert to fraction form
    10,735.03/16,420.22 = 16,420.22/x
  3. Step 3: Cross multiply
    10,735.03x = 16,420.22 × 16,420.22
  4. Step 4: Simplify right side
    10,735.03x = 269,623,583.80
  5. Step 5: Solve for x
    x = 269,623,583.80/10,735.03
  6. Step 6: Final answer
    x = 25,116.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.