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Finding the Third Proportional to 17,533 and 26,482

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Solution

The third proportional to 17,533 and 26,482 is: 39,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533 : 26,482 = 26,482 : x
  2. Step 2: Convert to fraction form
    17,533/26,482 = 26,482/x
  3. Step 3: Cross multiply
    17,533x = 26,482 × 26,482
  4. Step 4: Simplify right side
    17,533x = 701,296,324
  5. Step 5: Solve for x
    x = 701,296,324/17,533
  6. Step 6: Final answer
    x = 39,998.65

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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.