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Finding the Third Proportional to 44,648 and 65,738

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Solution

The third proportional to 44,648 and 65,738 is: 96,790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,648 : 65,738 = 65,738 : x
  2. Step 2: Convert to fraction form
    44,648/65,738 = 65,738/x
  3. Step 3: Cross multiply
    44,648x = 65,738 × 65,738
  4. Step 4: Simplify right side
    44,648x = 4,321,484,644
  5. Step 5: Solve for x
    x = 4,321,484,644/44,648
  6. Step 6: Final answer
    x = 96,790.11

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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.