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Finding the Third Proportional to 12,352.63 and 18,495.19

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Solution

The third proportional to 12,352.63 and 18,495.19 is: 27,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.63 : 18,495.19 = 18,495.19 : x
  2. Step 2: Convert to fraction form
    12,352.63/18,495.19 = 18,495.19/x
  3. Step 3: Cross multiply
    12,352.63x = 18,495.19 × 18,495.19
  4. Step 4: Simplify right side
    12,352.63x = 342,071,960.66
  5. Step 5: Solve for x
    x = 342,071,960.66/12,352.63
  6. Step 6: Final answer
    x = 27,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.