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Finding the Third Proportional to 4,421 and 10,010

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Solution

The third proportional to 4,421 and 10,010 is: 22,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421 : 10,010 = 10,010 : x
  2. Step 2: Convert to fraction form
    4,421/10,010 = 10,010/x
  3. Step 3: Cross multiply
    4,421x = 10,010 × 10,010
  4. Step 4: Simplify right side
    4,421x = 100,200,100
  5. Step 5: Solve for x
    x = 100,200,100/4,421
  6. Step 6: Final answer
    x = 22,664.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.