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Finding the Third Proportional to 8,574.75 and 19,948.50

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Solution

The third proportional to 8,574.75 and 19,948.50 is: 46,408.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.75 : 19,948.50 = 19,948.50 : x
  2. Step 2: Convert to fraction form
    8,574.75/19,948.50 = 19,948.50/x
  3. Step 3: Cross multiply
    8,574.75x = 19,948.50 × 19,948.50
  4. Step 4: Simplify right side
    8,574.75x = 397,942,652.25
  5. Step 5: Solve for x
    x = 397,942,652.25/8,574.75
  6. Step 6: Final answer
    x = 46,408.66

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.