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Finding the Third Proportional to 17,758 and 26,768

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Solution

The third proportional to 17,758 and 26,768 is: 40,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758 : 26,768 = 26,768 : x
  2. Step 2: Convert to fraction form
    17,758/26,768 = 26,768/x
  3. Step 3: Cross multiply
    17,758x = 26,768 × 26,768
  4. Step 4: Simplify right side
    17,758x = 716,525,824
  5. Step 5: Solve for x
    x = 716,525,824/17,758
  6. Step 6: Final answer
    x = 40,349.47

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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.