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Finding the Third Proportional to 17,935 and 39,146

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Solution

The third proportional to 17,935 and 39,146 is: 85,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,935 : 39,146 = 39,146 : x
  2. Step 2: Convert to fraction form
    17,935/39,146 = 39,146/x
  3. Step 3: Cross multiply
    17,935x = 39,146 × 39,146
  4. Step 4: Simplify right side
    17,935x = 1,532,409,316
  5. Step 5: Solve for x
    x = 1,532,409,316/17,935
  6. Step 6: Final answer
    x = 85,442.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.