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Finding the Third Proportional to 18,033 and 38,370

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Solution

The third proportional to 18,033 and 38,370 is: 81,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,033 : 38,370 = 38,370 : x
  2. Step 2: Convert to fraction form
    18,033/38,370 = 38,370/x
  3. Step 3: Cross multiply
    18,033x = 38,370 × 38,370
  4. Step 4: Simplify right side
    18,033x = 1,472,256,900
  5. Step 5: Solve for x
    x = 1,472,256,900/18,033
  6. Step 6: Final answer
    x = 81,642.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.