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Finding the Third Proportional to 29,371 and 57,263

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Solution

The third proportional to 29,371 and 57,263 is: 111,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,371 : 57,263 = 57,263 : x
  2. Step 2: Convert to fraction form
    29,371/57,263 = 57,263/x
  3. Step 3: Cross multiply
    29,371x = 57,263 × 57,263
  4. Step 4: Simplify right side
    29,371x = 3,279,051,169
  5. Step 5: Solve for x
    x = 3,279,051,169/29,371
  6. Step 6: Final answer
    x = 111,642.48

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.