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Finding the Third Proportional to 4,638 and 9,597

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Solution

The third proportional to 4,638 and 9,597 is: 19,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638 : 9,597 = 9,597 : x
  2. Step 2: Convert to fraction form
    4,638/9,597 = 9,597/x
  3. Step 3: Cross multiply
    4,638x = 9,597 × 9,597
  4. Step 4: Simplify right side
    4,638x = 92,102,409
  5. Step 5: Solve for x
    x = 92,102,409/4,638
  6. Step 6: Final answer
    x = 19,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.