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Finding the Third Proportional to 1,788.75 and 3,848.63

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Solution

The third proportional to 1,788.75 and 3,848.63 is: 8,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.75 : 3,848.63 = 3,848.63 : x
  2. Step 2: Convert to fraction form
    1,788.75/3,848.63 = 3,848.63/x
  3. Step 3: Cross multiply
    1,788.75x = 3,848.63 × 3,848.63
  4. Step 4: Simplify right side
    1,788.75x = 14,811,914.39
  5. Step 5: Solve for x
    x = 14,811,914.39/1,788.75
  6. Step 6: Final answer
    x = 8,280.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.