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Finding the Third Proportional to 37,824 and 88,348

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Solution

The third proportional to 37,824 and 88,348 is: 206,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,824 : 88,348 = 88,348 : x
  2. Step 2: Convert to fraction form
    37,824/88,348 = 88,348/x
  3. Step 3: Cross multiply
    37,824x = 88,348 × 88,348
  4. Step 4: Simplify right side
    37,824x = 7,805,369,104
  5. Step 5: Solve for x
    x = 7,805,369,104/37,824
  6. Step 6: Final answer
    x = 206,360.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.