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Finding the Third Proportional to 2,875.75 and 6,161.25

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Solution

The third proportional to 2,875.75 and 6,161.25 is: 13,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.75 : 6,161.25 = 6,161.25 : x
  2. Step 2: Convert to fraction form
    2,875.75/6,161.25 = 6,161.25/x
  3. Step 3: Cross multiply
    2,875.75x = 6,161.25 × 6,161.25
  4. Step 4: Simplify right side
    2,875.75x = 37,961,001.56
  5. Step 5: Solve for x
    x = 37,961,001.56/2,875.75
  6. Step 6: Final answer
    x = 13,200.38

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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.