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Finding the Third Proportional to 2,893.88 and 6,237.75

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Solution

The third proportional to 2,893.88 and 6,237.75 is: 13,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.88 : 6,237.75 = 6,237.75 : x
  2. Step 2: Convert to fraction form
    2,893.88/6,237.75 = 6,237.75/x
  3. Step 3: Cross multiply
    2,893.88x = 6,237.75 × 6,237.75
  4. Step 4: Simplify right side
    2,893.88x = 38,909,525.06
  5. Step 5: Solve for x
    x = 38,909,525.06/2,893.88
  6. Step 6: Final answer
    x = 13,445.48

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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.