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Finding the Third Proportional to 38,002 and 83,348

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Solution

The third proportional to 38,002 and 83,348 is: 182,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002 : 83,348 = 83,348 : x
  2. Step 2: Convert to fraction form
    38,002/83,348 = 83,348/x
  3. Step 3: Cross multiply
    38,002x = 83,348 × 83,348
  4. Step 4: Simplify right side
    38,002x = 6,946,889,104
  5. Step 5: Solve for x
    x = 6,946,889,104/38,002
  6. Step 6: Final answer
    x = 182,803.25

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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.