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Finding the Third Proportional to 6,205 and 9,597

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Solution

The third proportional to 6,205 and 9,597 is: 14,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205 : 9,597 = 9,597 : x
  2. Step 2: Convert to fraction form
    6,205/9,597 = 9,597/x
  3. Step 3: Cross multiply
    6,205x = 9,597 × 9,597
  4. Step 4: Simplify right side
    6,205x = 92,102,409
  5. Step 5: Solve for x
    x = 92,102,409/6,205
  6. Step 6: Final answer
    x = 14,843.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.