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Finding the Third Proportional to 17,513 and 26,783

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Solution

The third proportional to 17,513 and 26,783 is: 40,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,513 : 26,783 = 26,783 : x
  2. Step 2: Convert to fraction form
    17,513/26,783 = 26,783/x
  3. Step 3: Cross multiply
    17,513x = 26,783 × 26,783
  4. Step 4: Simplify right side
    17,513x = 717,329,089
  5. Step 5: Solve for x
    x = 717,329,089/17,513
  6. Step 6: Final answer
    x = 40,959.81

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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.