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Finding the Third Proportional to 4,556 and 10,004

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Solution

The third proportional to 4,556 and 10,004 is: 21,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556 : 10,004 = 10,004 : x
  2. Step 2: Convert to fraction form
    4,556/10,004 = 10,004/x
  3. Step 3: Cross multiply
    4,556x = 10,004 × 10,004
  4. Step 4: Simplify right side
    4,556x = 100,080,016
  5. Step 5: Solve for x
    x = 100,080,016/4,556
  6. Step 6: Final answer
    x = 21,966.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.