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Finding the Third Proportional to 11,765.25 and 25,898.63

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Solution

The third proportional to 11,765.25 and 25,898.63 is: 57,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 25,898.63 = 25,898.63 : x
  2. Step 2: Convert to fraction form
    11,765.25/25,898.63 = 25,898.63/x
  3. Step 3: Cross multiply
    11,765.25x = 25,898.63 × 25,898.63
  4. Step 4: Simplify right side
    11,765.25x = 670,738,776.89
  5. Step 5: Solve for x
    x = 670,738,776.89/11,765.25
  6. Step 6: Final answer
    x = 57,010.16

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