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Finding the Third Proportional to 44,102.25 and 66,559.50

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Solution

The third proportional to 44,102.25 and 66,559.50 is: 100,452.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,102.25 : 66,559.50 = 66,559.50 : x
  2. Step 2: Convert to fraction form
    44,102.25/66,559.50 = 66,559.50/x
  3. Step 3: Cross multiply
    44,102.25x = 66,559.50 × 66,559.50
  4. Step 4: Simplify right side
    44,102.25x = 4,430,167,040.25
  5. Step 5: Solve for x
    x = 4,430,167,040.25/44,102.25
  6. Step 6: Final answer
    x = 100,452.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.