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Finding the Third Proportional to 2,210.49 and 3,450.29

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Solution

The third proportional to 2,210.49 and 3,450.29 is: 5,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.49 : 3,450.29 = 3,450.29 : x
  2. Step 2: Convert to fraction form
    2,210.49/3,450.29 = 3,450.29/x
  3. Step 3: Cross multiply
    2,210.49x = 3,450.29 × 3,450.29
  4. Step 4: Simplify right side
    2,210.49x = 11,904,511.46
  5. Step 5: Solve for x
    x = 11,904,511.46/2,210.49
  6. Step 6: Final answer
    x = 5,385.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.