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Finding the Third Proportional to 17,666 and 26,537

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Solution

The third proportional to 17,666 and 26,537 is: 39,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666 : 26,537 = 26,537 : x
  2. Step 2: Convert to fraction form
    17,666/26,537 = 26,537/x
  3. Step 3: Cross multiply
    17,666x = 26,537 × 26,537
  4. Step 4: Simplify right side
    17,666x = 704,212,369
  5. Step 5: Solve for x
    x = 704,212,369/17,666
  6. Step 6: Final answer
    x = 39,862.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.