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Finding the Third Proportional to 9,011.25 and 21,048.75

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Solution

The third proportional to 9,011.25 and 21,048.75 is: 49,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.25 : 21,048.75 = 21,048.75 : x
  2. Step 2: Convert to fraction form
    9,011.25/21,048.75 = 21,048.75/x
  3. Step 3: Cross multiply
    9,011.25x = 21,048.75 × 21,048.75
  4. Step 4: Simplify right side
    9,011.25x = 443,049,876.56
  5. Step 5: Solve for x
    x = 443,049,876.56/9,011.25
  6. Step 6: Final answer
    x = 49,166.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.