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Finding the Third Proportional to 9,047.25 and 21,794.63

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Solution

The third proportional to 9,047.25 and 21,794.63 is: 52,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.25 : 21,794.63 = 21,794.63 : x
  2. Step 2: Convert to fraction form
    9,047.25/21,794.63 = 21,794.63/x
  3. Step 3: Cross multiply
    9,047.25x = 21,794.63 × 21,794.63
  4. Step 4: Simplify right side
    9,047.25x = 475,005,678.89
  5. Step 5: Solve for x
    x = 475,005,678.89/9,047.25
  6. Step 6: Final answer
    x = 52,502.77

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.