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Finding the Third Proportional to 30,122 and 44,102

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Solution

The third proportional to 30,122 and 44,102 is: 64,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122 : 44,102 = 44,102 : x
  2. Step 2: Convert to fraction form
    30,122/44,102 = 44,102/x
  3. Step 3: Cross multiply
    30,122x = 44,102 × 44,102
  4. Step 4: Simplify right side
    30,122x = 1,944,986,404
  5. Step 5: Solve for x
    x = 1,944,986,404/30,122
  6. Step 6: Final answer
    x = 64,570.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.