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Finding the Third Proportional to 4,784.06 and 10,388.25

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Solution

The third proportional to 4,784.06 and 10,388.25 is: 22,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.06 : 10,388.25 = 10,388.25 : x
  2. Step 2: Convert to fraction form
    4,784.06/10,388.25 = 10,388.25/x
  3. Step 3: Cross multiply
    4,784.06x = 10,388.25 × 10,388.25
  4. Step 4: Simplify right side
    4,784.06x = 107,915,738.06
  5. Step 5: Solve for x
    x = 107,915,738.06/4,784.06
  6. Step 6: Final answer
    x = 22,557.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.