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Finding the Third Proportional to 16,733.75 and 35,193.13

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Solution

The third proportional to 16,733.75 and 35,193.13 is: 74,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,733.75 : 35,193.13 = 35,193.13 : x
  2. Step 2: Convert to fraction form
    16,733.75/35,193.13 = 35,193.13/x
  3. Step 3: Cross multiply
    16,733.75x = 35,193.13 × 35,193.13
  4. Step 4: Simplify right side
    16,733.75x = 1,238,556,047.27
  5. Step 5: Solve for x
    x = 1,238,556,047.27/16,733.75
  6. Step 6: Final answer
    x = 74,015.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.