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Finding the Third Proportional to 41,623.50 and 63,975

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Solution

The third proportional to 41,623.50 and 63,975 is: 98,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,623.50 : 63,975 = 63,975 : x
  2. Step 2: Convert to fraction form
    41,623.50/63,975 = 63,975/x
  3. Step 3: Cross multiply
    41,623.50x = 63,975 × 63,975
  4. Step 4: Simplify right side
    41,623.50x = 4,092,800,625
  5. Step 5: Solve for x
    x = 4,092,800,625/41,623.50
  6. Step 6: Final answer
    x = 98,329.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.