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Finding the Third Proportional to 30,797.50 and 42,908.75

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Solution

The third proportional to 30,797.50 and 42,908.75 is: 59,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.50 : 42,908.75 = 42,908.75 : x
  2. Step 2: Convert to fraction form
    30,797.50/42,908.75 = 42,908.75/x
  3. Step 3: Cross multiply
    30,797.50x = 42,908.75 × 42,908.75
  4. Step 4: Simplify right side
    30,797.50x = 1,841,160,826.56
  5. Step 5: Solve for x
    x = 1,841,160,826.56/30,797.50
  6. Step 6: Final answer
    x = 59,782.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.