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Finding the Third Proportional to 46,999.50 and 67,906.50

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Solution

The third proportional to 46,999.50 and 67,906.50 is: 98,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.50 : 67,906.50 = 67,906.50 : x
  2. Step 2: Convert to fraction form
    46,999.50/67,906.50 = 67,906.50/x
  3. Step 3: Cross multiply
    46,999.50x = 67,906.50 × 67,906.50
  4. Step 4: Simplify right side
    46,999.50x = 4,611,292,742.25
  5. Step 5: Solve for x
    x = 4,611,292,742.25/46,999.50
  6. Step 6: Final answer
    x = 98,113.66

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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.