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Finding the Third Proportional to 12,549.75 and 18,352.31

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Solution

The third proportional to 12,549.75 and 18,352.31 is: 26,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549.75 : 18,352.31 = 18,352.31 : x
  2. Step 2: Convert to fraction form
    12,549.75/18,352.31 = 18,352.31/x
  3. Step 3: Cross multiply
    12,549.75x = 18,352.31 × 18,352.31
  4. Step 4: Simplify right side
    12,549.75x = 336,807,374.10
  5. Step 5: Solve for x
    x = 336,807,374.10/12,549.75
  6. Step 6: Final answer
    x = 26,837.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.