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Finding the Third Proportional to 1,570.84 and 3,270.89

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Solution

The third proportional to 1,570.84 and 3,270.89 is: 6,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.84 : 3,270.89 = 3,270.89 : x
  2. Step 2: Convert to fraction form
    1,570.84/3,270.89 = 3,270.89/x
  3. Step 3: Cross multiply
    1,570.84x = 3,270.89 × 3,270.89
  4. Step 4: Simplify right side
    1,570.84x = 10,698,715.90
  5. Step 5: Solve for x
    x = 10,698,715.90/1,570.84
  6. Step 6: Final answer
    x = 6,810.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.