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Finding the Third Proportional to 4,534 and 10,450

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Solution

The third proportional to 4,534 and 10,450 is: 24,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534 : 10,450 = 10,450 : x
  2. Step 2: Convert to fraction form
    4,534/10,450 = 10,450/x
  3. Step 3: Cross multiply
    4,534x = 10,450 × 10,450
  4. Step 4: Simplify right side
    4,534x = 109,202,500
  5. Step 5: Solve for x
    x = 109,202,500/4,534
  6. Step 6: Final answer
    x = 24,085.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.