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Finding the Third Proportional to 10,965.38 and 25,241.63

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Solution

The third proportional to 10,965.38 and 25,241.63 is: 58,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.38 : 25,241.63 = 25,241.63 : x
  2. Step 2: Convert to fraction form
    10,965.38/25,241.63 = 25,241.63/x
  3. Step 3: Cross multiply
    10,965.38x = 25,241.63 × 25,241.63
  4. Step 4: Simplify right side
    10,965.38x = 637,139,632.64
  5. Step 5: Solve for x
    x = 637,139,632.64/10,965.38
  6. Step 6: Final answer
    x = 58,104.68

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.