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Finding the Third Proportional to 44,091 and 68,323.50

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Solution

The third proportional to 44,091 and 68,323.50 is: 105,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,091 : 68,323.50 = 68,323.50 : x
  2. Step 2: Convert to fraction form
    44,091/68,323.50 = 68,323.50/x
  3. Step 3: Cross multiply
    44,091x = 68,323.50 × 68,323.50
  4. Step 4: Simplify right side
    44,091x = 4,668,100,652.25
  5. Step 5: Solve for x
    x = 4,668,100,652.25/44,091
  6. Step 6: Final answer
    x = 105,874.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.