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Finding the Third Proportional to 19,014 and 38,604

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Solution

The third proportional to 19,014 and 38,604 is: 78,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,014 : 38,604 = 38,604 : x
  2. Step 2: Convert to fraction form
    19,014/38,604 = 38,604/x
  3. Step 3: Cross multiply
    19,014x = 38,604 × 38,604
  4. Step 4: Simplify right side
    19,014x = 1,490,268,816
  5. Step 5: Solve for x
    x = 1,490,268,816/19,014
  6. Step 6: Final answer
    x = 78,377.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.