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Finding the Third Proportional to 3,010 and 3,804

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Solution

The third proportional to 3,010 and 3,804 is: 4,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010 : 3,804 = 3,804 : x
  2. Step 2: Convert to fraction form
    3,010/3,804 = 3,804/x
  3. Step 3: Cross multiply
    3,010x = 3,804 × 3,804
  4. Step 4: Simplify right side
    3,010x = 14,470,416
  5. Step 5: Solve for x
    x = 14,470,416/3,010
  6. Step 6: Final answer
    x = 4,807.45

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.