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Finding the Third Proportional to 12,095.30 and 18,325.20

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Solution

The third proportional to 12,095.30 and 18,325.20 is: 27,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.30 : 18,325.20 = 18,325.20 : x
  2. Step 2: Convert to fraction form
    12,095.30/18,325.20 = 18,325.20/x
  3. Step 3: Cross multiply
    12,095.30x = 18,325.20 × 18,325.20
  4. Step 4: Simplify right side
    12,095.30x = 335,812,783.24
  5. Step 5: Solve for x
    x = 335,812,783.24/12,095.30
  6. Step 6: Final answer
    x = 27,763.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.