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Finding the Third Proportional to 6,205 and 9,570

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Solution

The third proportional to 6,205 and 9,570 is: 14,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205 : 9,570 = 9,570 : x
  2. Step 2: Convert to fraction form
    6,205/9,570 = 9,570/x
  3. Step 3: Cross multiply
    6,205x = 9,570 × 9,570
  4. Step 4: Simplify right side
    6,205x = 91,584,900
  5. Step 5: Solve for x
    x = 91,584,900/6,205
  6. Step 6: Final answer
    x = 14,759.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.