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Finding the Third Proportional to 26,012 and 39,196

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Solution

The third proportional to 26,012 and 39,196 is: 59,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,012 : 39,196 = 39,196 : x
  2. Step 2: Convert to fraction form
    26,012/39,196 = 39,196/x
  3. Step 3: Cross multiply
    26,012x = 39,196 × 39,196
  4. Step 4: Simplify right side
    26,012x = 1,536,326,416
  5. Step 5: Solve for x
    x = 1,536,326,416/26,012
  6. Step 6: Final answer
    x = 59,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.