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Finding the Third Proportional to 12,271.50 and 24,467.06

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Solution

The third proportional to 12,271.50 and 24,467.06 is: 48,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.50 : 24,467.06 = 24,467.06 : x
  2. Step 2: Convert to fraction form
    12,271.50/24,467.06 = 24,467.06/x
  3. Step 3: Cross multiply
    12,271.50x = 24,467.06 × 24,467.06
  4. Step 4: Simplify right side
    12,271.50x = 598,637,147.38
  5. Step 5: Solve for x
    x = 598,637,147.38/12,271.50
  6. Step 6: Final answer
    x = 48,782.72

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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.