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Finding the Third Proportional to 4,463 and 9,541

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Solution

The third proportional to 4,463 and 9,541 is: 20,396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463 : 9,541 = 9,541 : x
  2. Step 2: Convert to fraction form
    4,463/9,541 = 9,541/x
  3. Step 3: Cross multiply
    4,463x = 9,541 × 9,541
  4. Step 4: Simplify right side
    4,463x = 91,030,681
  5. Step 5: Solve for x
    x = 91,030,681/4,463
  6. Step 6: Final answer
    x = 20,396.75

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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.