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Finding the Third Proportional to 26,314 and 57,004

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Solution

The third proportional to 26,314 and 57,004 is: 123,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,314 : 57,004 = 57,004 : x
  2. Step 2: Convert to fraction form
    26,314/57,004 = 57,004/x
  3. Step 3: Cross multiply
    26,314x = 57,004 × 57,004
  4. Step 4: Simplify right side
    26,314x = 3,249,456,016
  5. Step 5: Solve for x
    x = 3,249,456,016/26,314
  6. Step 6: Final answer
    x = 123,487.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.