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Finding the Third Proportional to 28,713 and 42,067.50

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Solution

The third proportional to 28,713 and 42,067.50 is: 61,633.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,713 : 42,067.50 = 42,067.50 : x
  2. Step 2: Convert to fraction form
    28,713/42,067.50 = 42,067.50/x
  3. Step 3: Cross multiply
    28,713x = 42,067.50 × 42,067.50
  4. Step 4: Simplify right side
    28,713x = 1,769,674,556.25
  5. Step 5: Solve for x
    x = 1,769,674,556.25/28,713
  6. Step 6: Final answer
    x = 61,633.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.