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Finding the Third Proportional to 16,117.50 and 35,895

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Solution

The third proportional to 16,117.50 and 35,895 is: 79,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.50 : 35,895 = 35,895 : x
  2. Step 2: Convert to fraction form
    16,117.50/35,895 = 35,895/x
  3. Step 3: Cross multiply
    16,117.50x = 35,895 × 35,895
  4. Step 4: Simplify right side
    16,117.50x = 1,288,451,025
  5. Step 5: Solve for x
    x = 1,288,451,025/16,117.50
  6. Step 6: Final answer
    x = 79,941.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.