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Finding the Third Proportional to 26,324 and 57,569

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Solution

The third proportional to 26,324 and 57,569 is: 125,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,324 : 57,569 = 57,569 : x
  2. Step 2: Convert to fraction form
    26,324/57,569 = 57,569/x
  3. Step 3: Cross multiply
    26,324x = 57,569 × 57,569
  4. Step 4: Simplify right side
    26,324x = 3,314,189,761
  5. Step 5: Solve for x
    x = 3,314,189,761/26,324
  6. Step 6: Final answer
    x = 125,899.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.