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Finding the Third Proportional to 4,582 and 9,821

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Solution

The third proportional to 4,582 and 9,821 is: 21,050.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582 : 9,821 = 9,821 : x
  2. Step 2: Convert to fraction form
    4,582/9,821 = 9,821/x
  3. Step 3: Cross multiply
    4,582x = 9,821 × 9,821
  4. Step 4: Simplify right side
    4,582x = 96,452,041
  5. Step 5: Solve for x
    x = 96,452,041/4,582
  6. Step 6: Final answer
    x = 21,050.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.