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Finding the Third Proportional to 19,008 and 42,387.75

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Solution

The third proportional to 19,008 and 42,387.75 is: 94,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,008 : 42,387.75 = 42,387.75 : x
  2. Step 2: Convert to fraction form
    19,008/42,387.75 = 42,387.75/x
  3. Step 3: Cross multiply
    19,008x = 42,387.75 × 42,387.75
  4. Step 4: Simplify right side
    19,008x = 1,796,721,350.06
  5. Step 5: Solve for x
    x = 1,796,721,350.06/19,008
  6. Step 6: Final answer
    x = 94,524.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.