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Finding the Third Proportional to 32,400 and 46,824

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Solution

The third proportional to 32,400 and 46,824 is: 67,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,400 : 46,824 = 46,824 : x
  2. Step 2: Convert to fraction form
    32,400/46,824 = 46,824/x
  3. Step 3: Cross multiply
    32,400x = 46,824 × 46,824
  4. Step 4: Simplify right side
    32,400x = 2,192,486,976
  5. Step 5: Solve for x
    x = 2,192,486,976/32,400
  6. Step 6: Final answer
    x = 67,669.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.