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Finding the Third Proportional to 29,356.50 and 42,067.50

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Solution

The third proportional to 29,356.50 and 42,067.50 is: 60,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356.50 : 42,067.50 = 42,067.50 : x
  2. Step 2: Convert to fraction form
    29,356.50/42,067.50 = 42,067.50/x
  3. Step 3: Cross multiply
    29,356.50x = 42,067.50 × 42,067.50
  4. Step 4: Simplify right side
    29,356.50x = 1,769,674,556.25
  5. Step 5: Solve for x
    x = 1,769,674,556.25/29,356.50
  6. Step 6: Final answer
    x = 60,282.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.