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Finding the Third Proportional to 44,649 and 65,254.50

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Solution

The third proportional to 44,649 and 65,254.50 is: 95,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,649 : 65,254.50 = 65,254.50 : x
  2. Step 2: Convert to fraction form
    44,649/65,254.50 = 65,254.50/x
  3. Step 3: Cross multiply
    44,649x = 65,254.50 × 65,254.50
  4. Step 4: Simplify right side
    44,649x = 4,258,149,770.25
  5. Step 5: Solve for x
    x = 4,258,149,770.25/44,649
  6. Step 6: Final answer
    x = 95,369.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.