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Finding the Third Proportional to 7,961.63 and 17,381.25

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Solution

The third proportional to 7,961.63 and 17,381.25 is: 37,945.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.63 : 17,381.25 = 17,381.25 : x
  2. Step 2: Convert to fraction form
    7,961.63/17,381.25 = 17,381.25/x
  3. Step 3: Cross multiply
    7,961.63x = 17,381.25 × 17,381.25
  4. Step 4: Simplify right side
    7,961.63x = 302,107,851.56
  5. Step 5: Solve for x
    x = 302,107,851.56/7,961.63
  6. Step 6: Final answer
    x = 37,945.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.