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Finding the Third Proportional to 9,047.25 and 19,289.25

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Solution

The third proportional to 9,047.25 and 19,289.25 is: 41,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.25 : 19,289.25 = 19,289.25 : x
  2. Step 2: Convert to fraction form
    9,047.25/19,289.25 = 19,289.25/x
  3. Step 3: Cross multiply
    9,047.25x = 19,289.25 × 19,289.25
  4. Step 4: Simplify right side
    9,047.25x = 372,075,165.56
  5. Step 5: Solve for x
    x = 372,075,165.56/9,047.25
  6. Step 6: Final answer
    x = 41,125.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.