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Finding the Third Proportional to 4,097.63 and 9,015.38

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Solution

The third proportional to 4,097.63 and 9,015.38 is: 19,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.63 : 9,015.38 = 9,015.38 : x
  2. Step 2: Convert to fraction form
    4,097.63/9,015.38 = 9,015.38/x
  3. Step 3: Cross multiply
    4,097.63x = 9,015.38 × 9,015.38
  4. Step 4: Simplify right side
    4,097.63x = 81,276,986.39
  5. Step 5: Solve for x
    x = 81,276,986.39/4,097.63
  6. Step 6: Final answer
    x = 19,835.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.