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Finding the Third Proportional to 39,828 and 61,130

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Solution

The third proportional to 39,828 and 61,130 is: 93,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,828 : 61,130 = 61,130 : x
  2. Step 2: Convert to fraction form
    39,828/61,130 = 61,130/x
  3. Step 3: Cross multiply
    39,828x = 61,130 × 61,130
  4. Step 4: Simplify right side
    39,828x = 3,736,876,900
  5. Step 5: Solve for x
    x = 3,736,876,900/39,828
  6. Step 6: Final answer
    x = 93,825.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.