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Finding the Third Proportional to 41,145.75 and 55,054.50

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Solution

The third proportional to 41,145.75 and 55,054.50 is: 73,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,145.75 : 55,054.50 = 55,054.50 : x
  2. Step 2: Convert to fraction form
    41,145.75/55,054.50 = 55,054.50/x
  3. Step 3: Cross multiply
    41,145.75x = 55,054.50 × 55,054.50
  4. Step 4: Simplify right side
    41,145.75x = 3,030,997,970.25
  5. Step 5: Solve for x
    x = 3,030,997,970.25/41,145.75
  6. Step 6: Final answer
    x = 73,664.91

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.