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Finding the Third Proportional to 30,783.75 and 46,796.34

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Solution

The third proportional to 30,783.75 and 46,796.34 is: 71,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.75 : 46,796.34 = 46,796.34 : x
  2. Step 2: Convert to fraction form
    30,783.75/46,796.34 = 46,796.34/x
  3. Step 3: Cross multiply
    30,783.75x = 46,796.34 × 46,796.34
  4. Step 4: Simplify right side
    30,783.75x = 2,189,897,788.37
  5. Step 5: Solve for x
    x = 2,189,897,788.37/30,783.75
  6. Step 6: Final answer
    x = 71,138.11

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.