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Finding the Third Proportional to 17,838 and 37,851.75

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Solution

The third proportional to 17,838 and 37,851.75 is: 80,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838 : 37,851.75 = 37,851.75 : x
  2. Step 2: Convert to fraction form
    17,838/37,851.75 = 37,851.75/x
  3. Step 3: Cross multiply
    17,838x = 37,851.75 × 37,851.75
  4. Step 4: Simplify right side
    17,838x = 1,432,754,978.06
  5. Step 5: Solve for x
    x = 1,432,754,978.06/17,838
  6. Step 6: Final answer
    x = 80,320.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.