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Finding the Third Proportional to 46,608 and 67,704

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Solution

The third proportional to 46,608 and 67,704 is: 98,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,608 : 67,704 = 67,704 : x
  2. Step 2: Convert to fraction form
    46,608/67,704 = 67,704/x
  3. Step 3: Cross multiply
    46,608x = 67,704 × 67,704
  4. Step 4: Simplify right side
    46,608x = 4,583,831,616
  5. Step 5: Solve for x
    x = 4,583,831,616/46,608
  6. Step 6: Final answer
    x = 98,348.60

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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.