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Finding the Third Proportional to 18,872 and 37,280

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Solution

The third proportional to 18,872 and 37,280 is: 73,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,872 : 37,280 = 37,280 : x
  2. Step 2: Convert to fraction form
    18,872/37,280 = 37,280/x
  3. Step 3: Cross multiply
    18,872x = 37,280 × 37,280
  4. Step 4: Simplify right side
    18,872x = 1,389,798,400
  5. Step 5: Solve for x
    x = 1,389,798,400/18,872
  6. Step 6: Final answer
    x = 73,643.41

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.