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Finding the Third Proportional to 32,211 and 46,394.25

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Solution

The third proportional to 32,211 and 46,394.25 is: 66,822.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,211 : 46,394.25 = 46,394.25 : x
  2. Step 2: Convert to fraction form
    32,211/46,394.25 = 46,394.25/x
  3. Step 3: Cross multiply
    32,211x = 46,394.25 × 46,394.25
  4. Step 4: Simplify right side
    32,211x = 2,152,426,433.06
  5. Step 5: Solve for x
    x = 2,152,426,433.06/32,211
  6. Step 6: Final answer
    x = 66,822.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.