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Finding the Third Proportional to 15,954.25 and 35,168.50

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Solution

The third proportional to 15,954.25 and 35,168.50 is: 77,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954.25 : 35,168.50 = 35,168.50 : x
  2. Step 2: Convert to fraction form
    15,954.25/35,168.50 = 35,168.50/x
  3. Step 3: Cross multiply
    15,954.25x = 35,168.50 × 35,168.50
  4. Step 4: Simplify right side
    15,954.25x = 1,236,823,392.25
  5. Step 5: Solve for x
    x = 1,236,823,392.25/15,954.25
  6. Step 6: Final answer
    x = 77,523.13

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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.