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Finding the Third Proportional to 17,308 and 26,852

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Solution

The third proportional to 17,308 and 26,852 is: 41,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,308 : 26,852 = 26,852 : x
  2. Step 2: Convert to fraction form
    17,308/26,852 = 26,852/x
  3. Step 3: Cross multiply
    17,308x = 26,852 × 26,852
  4. Step 4: Simplify right side
    17,308x = 721,029,904
  5. Step 5: Solve for x
    x = 721,029,904/17,308
  6. Step 6: Final answer
    x = 41,658.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.