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Finding the Third Proportional to 17,140 and 26,196

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Solution

The third proportional to 17,140 and 26,196 is: 40,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140 : 26,196 = 26,196 : x
  2. Step 2: Convert to fraction form
    17,140/26,196 = 26,196/x
  3. Step 3: Cross multiply
    17,140x = 26,196 × 26,196
  4. Step 4: Simplify right side
    17,140x = 686,230,416
  5. Step 5: Solve for x
    x = 686,230,416/17,140
  6. Step 6: Final answer
    x = 40,036.78

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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.