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Finding the Third Proportional to 7,981.03 and 17,549.16

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Solution

The third proportional to 7,981.03 and 17,549.16 is: 38,588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.03 : 17,549.16 = 17,549.16 : x
  2. Step 2: Convert to fraction form
    7,981.03/17,549.16 = 17,549.16/x
  3. Step 3: Cross multiply
    7,981.03x = 17,549.16 × 17,549.16
  4. Step 4: Simplify right side
    7,981.03x = 307,972,885.09
  5. Step 5: Solve for x
    x = 307,972,885.09/7,981.03
  6. Step 6: Final answer
    x = 38,588.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.