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Finding the Third Proportional to 12,421 and 18,462.50

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Solution

The third proportional to 12,421 and 18,462.50 is: 27,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421 : 18,462.50 = 18,462.50 : x
  2. Step 2: Convert to fraction form
    12,421/18,462.50 = 18,462.50/x
  3. Step 3: Cross multiply
    12,421x = 18,462.50 × 18,462.50
  4. Step 4: Simplify right side
    12,421x = 340,863,906.25
  5. Step 5: Solve for x
    x = 340,863,906.25/12,421
  6. Step 6: Final answer
    x = 27,442.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.