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Finding the Third Proportional to 32,154 and 46,975

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Solution

The third proportional to 32,154 and 46,975 is: 68,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,154 : 46,975 = 46,975 : x
  2. Step 2: Convert to fraction form
    32,154/46,975 = 46,975/x
  3. Step 3: Cross multiply
    32,154x = 46,975 × 46,975
  4. Step 4: Simplify right side
    32,154x = 2,206,650,625
  5. Step 5: Solve for x
    x = 2,206,650,625/32,154
  6. Step 6: Final answer
    x = 68,627.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.