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Finding the Third Proportional to 18,825.19 and 40,566.38

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Solution

The third proportional to 18,825.19 and 40,566.38 is: 87,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825.19 : 40,566.38 = 40,566.38 : x
  2. Step 2: Convert to fraction form
    18,825.19/40,566.38 = 40,566.38/x
  3. Step 3: Cross multiply
    18,825.19x = 40,566.38 × 40,566.38
  4. Step 4: Simplify right side
    18,825.19x = 1,645,630,780.64
  5. Step 5: Solve for x
    x = 1,645,630,780.64/18,825.19
  6. Step 6: Final answer
    x = 87,416.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.