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Finding the Third Proportional to 18,070 and 39,196

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Solution

The third proportional to 18,070 and 39,196 is: 85,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,070 : 39,196 = 39,196 : x
  2. Step 2: Convert to fraction form
    18,070/39,196 = 39,196/x
  3. Step 3: Cross multiply
    18,070x = 39,196 × 39,196
  4. Step 4: Simplify right side
    18,070x = 1,536,326,416
  5. Step 5: Solve for x
    x = 1,536,326,416/18,070
  6. Step 6: Final answer
    x = 85,020.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.