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Finding the Third Proportional to 30,179.63 and 47,777.25

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Solution

The third proportional to 30,179.63 and 47,777.25 is: 75,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,179.63 : 47,777.25 = 47,777.25 : x
  2. Step 2: Convert to fraction form
    30,179.63/47,777.25 = 47,777.25/x
  3. Step 3: Cross multiply
    30,179.63x = 47,777.25 × 47,777.25
  4. Step 4: Simplify right side
    30,179.63x = 2,282,665,617.56
  5. Step 5: Solve for x
    x = 2,282,665,617.56/30,179.63
  6. Step 6: Final answer
    x = 75,635.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.