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Finding the Third Proportional to 30,083 and 44,098

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Solution

The third proportional to 30,083 and 44,098 is: 64,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083 : 44,098 = 44,098 : x
  2. Step 2: Convert to fraction form
    30,083/44,098 = 44,098/x
  3. Step 3: Cross multiply
    30,083x = 44,098 × 44,098
  4. Step 4: Simplify right side
    30,083x = 1,944,633,604
  5. Step 5: Solve for x
    x = 1,944,633,604/30,083
  6. Step 6: Final answer
    x = 64,642.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.