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Finding the Third Proportional to 4,534 and 10,042

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Solution

The third proportional to 4,534 and 10,042 is: 22,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534 : 10,042 = 10,042 : x
  2. Step 2: Convert to fraction form
    4,534/10,042 = 10,042/x
  3. Step 3: Cross multiply
    4,534x = 10,042 × 10,042
  4. Step 4: Simplify right side
    4,534x = 100,841,764
  5. Step 5: Solve for x
    x = 100,841,764/4,534
  6. Step 6: Final answer
    x = 22,241.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.