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Finding the Third Proportional to 32,379.75 and 44,970.19

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Solution

The third proportional to 32,379.75 and 44,970.19 is: 62,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,379.75 : 44,970.19 = 44,970.19 : x
  2. Step 2: Convert to fraction form
    32,379.75/44,970.19 = 44,970.19/x
  3. Step 3: Cross multiply
    32,379.75x = 44,970.19 × 44,970.19
  4. Step 4: Simplify right side
    32,379.75x = 2,022,317,763.79
  5. Step 5: Solve for x
    x = 2,022,317,763.79/32,379.75
  6. Step 6: Final answer
    x = 62,456.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.