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Finding the Third Proportional to 44,908 and 65,385

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Solution

The third proportional to 44,908 and 65,385 is: 95,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,908 : 65,385 = 65,385 : x
  2. Step 2: Convert to fraction form
    44,908/65,385 = 65,385/x
  3. Step 3: Cross multiply
    44,908x = 65,385 × 65,385
  4. Step 4: Simplify right side
    44,908x = 4,275,198,225
  5. Step 5: Solve for x
    x = 4,275,198,225/44,908
  6. Step 6: Final answer
    x = 95,199.03

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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.