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Finding the Third Proportional to 10,090.50 and 13,090.50

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Solution

The third proportional to 10,090.50 and 13,090.50 is: 16,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.50 : 13,090.50 = 13,090.50 : x
  2. Step 2: Convert to fraction form
    10,090.50/13,090.50 = 13,090.50/x
  3. Step 3: Cross multiply
    10,090.50x = 13,090.50 × 13,090.50
  4. Step 4: Simplify right side
    10,090.50x = 171,361,190.25
  5. Step 5: Solve for x
    x = 171,361,190.25/10,090.50
  6. Step 6: Final answer
    x = 16,982.43

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.