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Finding the Third Proportional to 2,010 and 3,695

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Solution

The third proportional to 2,010 and 3,695 is: 6,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010 : 3,695 = 3,695 : x
  2. Step 2: Convert to fraction form
    2,010/3,695 = 3,695/x
  3. Step 3: Cross multiply
    2,010x = 3,695 × 3,695
  4. Step 4: Simplify right side
    2,010x = 13,653,025
  5. Step 5: Solve for x
    x = 13,653,025/2,010
  6. Step 6: Final answer
    x = 6,792.55

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.