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Finding the Third Proportional to 23,018 and 35,196

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Solution

The third proportional to 23,018 and 35,196 is: 53,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,018 : 35,196 = 35,196 : x
  2. Step 2: Convert to fraction form
    23,018/35,196 = 35,196/x
  3. Step 3: Cross multiply
    23,018x = 35,196 × 35,196
  4. Step 4: Simplify right side
    23,018x = 1,238,758,416
  5. Step 5: Solve for x
    x = 1,238,758,416/23,018
  6. Step 6: Final answer
    x = 53,816.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.