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Finding the Third Proportional to 19,032.50 and 40,975

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Solution

The third proportional to 19,032.50 and 40,975 is: 88,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032.50 : 40,975 = 40,975 : x
  2. Step 2: Convert to fraction form
    19,032.50/40,975 = 40,975/x
  3. Step 3: Cross multiply
    19,032.50x = 40,975 × 40,975
  4. Step 4: Simplify right side
    19,032.50x = 1,678,950,625
  5. Step 5: Solve for x
    x = 1,678,950,625/19,032.50
  6. Step 6: Final answer
    x = 88,214.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.