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Finding the Third Proportional to 1,346.63 and 2,914.31

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Solution

The third proportional to 1,346.63 and 2,914.31 is: 6,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.63 : 2,914.31 = 2,914.31 : x
  2. Step 2: Convert to fraction form
    1,346.63/2,914.31 = 2,914.31/x
  3. Step 3: Cross multiply
    1,346.63x = 2,914.31 × 2,914.31
  4. Step 4: Simplify right side
    1,346.63x = 8,493,217.35
  5. Step 5: Solve for x
    x = 8,493,217.35/1,346.63
  6. Step 6: Final answer
    x = 6,307.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.