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Finding the Third Proportional to 16,291.97 and 35,697.52

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Solution

The third proportional to 16,291.97 and 35,697.52 is: 78,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.97 : 35,697.52 = 35,697.52 : x
  2. Step 2: Convert to fraction form
    16,291.97/35,697.52 = 35,697.52/x
  3. Step 3: Cross multiply
    16,291.97x = 35,697.52 × 35,697.52
  4. Step 4: Simplify right side
    16,291.97x = 1,274,312,621.80
  5. Step 5: Solve for x
    x = 1,274,312,621.80/16,291.97
  6. Step 6: Final answer
    x = 78,217.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.