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Finding the Third Proportional to 44,269 and 65,775

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Solution

The third proportional to 44,269 and 65,775 is: 97,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,269 : 65,775 = 65,775 : x
  2. Step 2: Convert to fraction form
    44,269/65,775 = 65,775/x
  3. Step 3: Cross multiply
    44,269x = 65,775 × 65,775
  4. Step 4: Simplify right side
    44,269x = 4,326,350,625
  5. Step 5: Solve for x
    x = 4,326,350,625/44,269
  6. Step 6: Final answer
    x = 97,728.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.