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Finding the Third Proportional to 9,014.63 and 19,416.38

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Solution

The third proportional to 9,014.63 and 19,416.38 is: 41,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.63 : 19,416.38 = 19,416.38 : x
  2. Step 2: Convert to fraction form
    9,014.63/19,416.38 = 19,416.38/x
  3. Step 3: Cross multiply
    9,014.63x = 19,416.38 × 19,416.38
  4. Step 4: Simplify right side
    9,014.63x = 376,995,618.14
  5. Step 5: Solve for x
    x = 376,995,618.14/9,014.63
  6. Step 6: Final answer
    x = 41,820.44

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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.