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Finding the Third Proportional to 27,297 and 57,069

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Solution

The third proportional to 27,297 and 57,069 is: 119,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297 : 57,069 = 57,069 : x
  2. Step 2: Convert to fraction form
    27,297/57,069 = 57,069/x
  3. Step 3: Cross multiply
    27,297x = 57,069 × 57,069
  4. Step 4: Simplify right side
    27,297x = 3,256,870,761
  5. Step 5: Solve for x
    x = 3,256,870,761/27,297
  6. Step 6: Final answer
    x = 119,312.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.