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Finding the Third Proportional to 2,858.63 and 6,113.44

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Solution

The third proportional to 2,858.63 and 6,113.44 is: 13,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.63 : 6,113.44 = 6,113.44 : x
  2. Step 2: Convert to fraction form
    2,858.63/6,113.44 = 6,113.44/x
  3. Step 3: Cross multiply
    2,858.63x = 6,113.44 × 6,113.44
  4. Step 4: Simplify right side
    2,858.63x = 37,374,118.07
  5. Step 5: Solve for x
    x = 37,374,118.07/2,858.63
  6. Step 6: Final answer
    x = 13,074.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.