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Finding the Third Proportional to 4,549 and 9,557

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Solution

The third proportional to 4,549 and 9,557 is: 20,078.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549 : 9,557 = 9,557 : x
  2. Step 2: Convert to fraction form
    4,549/9,557 = 9,557/x
  3. Step 3: Cross multiply
    4,549x = 9,557 × 9,557
  4. Step 4: Simplify right side
    4,549x = 91,336,249
  5. Step 5: Solve for x
    x = 91,336,249/4,549
  6. Step 6: Final answer
    x = 20,078.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.