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Finding the Third Proportional to 21,122 and 28,450

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Solution

The third proportional to 21,122 and 28,450 is: 38,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,122 : 28,450 = 28,450 : x
  2. Step 2: Convert to fraction form
    21,122/28,450 = 28,450/x
  3. Step 3: Cross multiply
    21,122x = 28,450 × 28,450
  4. Step 4: Simplify right side
    21,122x = 809,402,500
  5. Step 5: Solve for x
    x = 809,402,500/21,122
  6. Step 6: Final answer
    x = 38,320.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.