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Finding the Third Proportional to 44,145 and 65,908.69

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Solution

The third proportional to 44,145 and 65,908.69 is: 98,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145 : 65,908.69 = 65,908.69 : x
  2. Step 2: Convert to fraction form
    44,145/65,908.69 = 65,908.69/x
  3. Step 3: Cross multiply
    44,145x = 65,908.69 × 65,908.69
  4. Step 4: Simplify right side
    44,145x = 4,343,955,087.97
  5. Step 5: Solve for x
    x = 4,343,955,087.97/44,145
  6. Step 6: Final answer
    x = 98,401.97

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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.