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Finding the Third Proportional to 44,008 and 103,785

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Solution

The third proportional to 44,008 and 103,785 is: 244,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008 : 103,785 = 103,785 : x
  2. Step 2: Convert to fraction form
    44,008/103,785 = 103,785/x
  3. Step 3: Cross multiply
    44,008x = 103,785 × 103,785
  4. Step 4: Simplify right side
    44,008x = 10,771,326,225
  5. Step 5: Solve for x
    x = 10,771,326,225/44,008
  6. Step 6: Final answer
    x = 244,758.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.