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Finding the Third Proportional to 26,253 and 57,582

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Solution

The third proportional to 26,253 and 57,582 is: 126,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,253 : 57,582 = 57,582 : x
  2. Step 2: Convert to fraction form
    26,253/57,582 = 57,582/x
  3. Step 3: Cross multiply
    26,253x = 57,582 × 57,582
  4. Step 4: Simplify right side
    26,253x = 3,315,686,724
  5. Step 5: Solve for x
    x = 3,315,686,724/26,253
  6. Step 6: Final answer
    x = 126,297.44

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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.