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Finding the Third Proportional to 19,909.75 and 31,074.50

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Solution

The third proportional to 19,909.75 and 31,074.50 is: 48,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.75 : 31,074.50 = 31,074.50 : x
  2. Step 2: Convert to fraction form
    19,909.75/31,074.50 = 31,074.50/x
  3. Step 3: Cross multiply
    19,909.75x = 31,074.50 × 31,074.50
  4. Step 4: Simplify right side
    19,909.75x = 965,624,550.25
  5. Step 5: Solve for x
    x = 965,624,550.25/19,909.75
  6. Step 6: Final answer
    x = 48,500.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.