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Finding the Third Proportional to 17,760 and 26,486

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Solution

The third proportional to 17,760 and 26,486 is: 39,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760 : 26,486 = 26,486 : x
  2. Step 2: Convert to fraction form
    17,760/26,486 = 26,486/x
  3. Step 3: Cross multiply
    17,760x = 26,486 × 26,486
  4. Step 4: Simplify right side
    17,760x = 701,508,196
  5. Step 5: Solve for x
    x = 701,508,196/17,760
  6. Step 6: Final answer
    x = 39,499.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.