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Finding the Third Proportional to 43,838 and 62,030

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Solution

The third proportional to 43,838 and 62,030 is: 87,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,838 : 62,030 = 62,030 : x
  2. Step 2: Convert to fraction form
    43,838/62,030 = 62,030/x
  3. Step 3: Cross multiply
    43,838x = 62,030 × 62,030
  4. Step 4: Simplify right side
    43,838x = 3,847,720,900
  5. Step 5: Solve for x
    x = 3,847,720,900/43,838
  6. Step 6: Final answer
    x = 87,771.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.