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Finding the Third Proportional to 1,612.13 and 3,400.46

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Solution

The third proportional to 1,612.13 and 3,400.46 is: 7,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.13 : 3,400.46 = 3,400.46 : x
  2. Step 2: Convert to fraction form
    1,612.13/3,400.46 = 3,400.46/x
  3. Step 3: Cross multiply
    1,612.13x = 3,400.46 × 3,400.46
  4. Step 4: Simplify right side
    1,612.13x = 11,563,111.34
  5. Step 5: Solve for x
    x = 11,563,111.34/1,612.13
  6. Step 6: Final answer
    x = 7,172.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.