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Finding the Third Proportional to 26,924 and 55,768

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Solution

The third proportional to 26,924 and 55,768 is: 115,512.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,924 : 55,768 = 55,768 : x
  2. Step 2: Convert to fraction form
    26,924/55,768 = 55,768/x
  3. Step 3: Cross multiply
    26,924x = 55,768 × 55,768
  4. Step 4: Simplify right side
    26,924x = 3,110,069,824
  5. Step 5: Solve for x
    x = 3,110,069,824/26,924
  6. Step 6: Final answer
    x = 115,512.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.