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Finding the Third Proportional to 26,228 and 36,852

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Solution

The third proportional to 26,228 and 36,852 is: 51,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,228 : 36,852 = 36,852 : x
  2. Step 2: Convert to fraction form
    26,228/36,852 = 36,852/x
  3. Step 3: Cross multiply
    26,228x = 36,852 × 36,852
  4. Step 4: Simplify right side
    26,228x = 1,358,069,904
  5. Step 5: Solve for x
    x = 1,358,069,904/26,228
  6. Step 6: Final answer
    x = 51,779.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.