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Finding the Third Proportional to 17,038 and 26,591

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Solution

The third proportional to 17,038 and 26,591 is: 41,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038 : 26,591 = 26,591 : x
  2. Step 2: Convert to fraction form
    17,038/26,591 = 26,591/x
  3. Step 3: Cross multiply
    17,038x = 26,591 × 26,591
  4. Step 4: Simplify right side
    17,038x = 707,081,281
  5. Step 5: Solve for x
    x = 707,081,281/17,038
  6. Step 6: Final answer
    x = 41,500.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.