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Finding the Third Proportional to 13,090.50 and 17,037

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Solution

The third proportional to 13,090.50 and 17,037 is: 22,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.50 : 17,037 = 17,037 : x
  2. Step 2: Convert to fraction form
    13,090.50/17,037 = 17,037/x
  3. Step 3: Cross multiply
    13,090.50x = 17,037 × 17,037
  4. Step 4: Simplify right side
    13,090.50x = 290,259,369
  5. Step 5: Solve for x
    x = 290,259,369/13,090.50
  6. Step 6: Final answer
    x = 22,173.28

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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.