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Finding the Third Proportional to 44,734 and 65,805

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Solution

The third proportional to 44,734 and 65,805 is: 96,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,734 : 65,805 = 65,805 : x
  2. Step 2: Convert to fraction form
    44,734/65,805 = 65,805/x
  3. Step 3: Cross multiply
    44,734x = 65,805 × 65,805
  4. Step 4: Simplify right side
    44,734x = 4,330,298,025
  5. Step 5: Solve for x
    x = 4,330,298,025/44,734
  6. Step 6: Final answer
    x = 96,801.05

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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.