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Finding the Third Proportional to 44,969 and 65,995

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Solution

The third proportional to 44,969 and 65,995 is: 96,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,969 : 65,995 = 65,995 : x
  2. Step 2: Convert to fraction form
    44,969/65,995 = 65,995/x
  3. Step 3: Cross multiply
    44,969x = 65,995 × 65,995
  4. Step 4: Simplify right side
    44,969x = 4,355,340,025
  5. Step 5: Solve for x
    x = 4,355,340,025/44,969
  6. Step 6: Final answer
    x = 96,852.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.