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Finding the Third Proportional to 10,496.25 and 15,825.38

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Solution

The third proportional to 10,496.25 and 15,825.38 is: 23,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.25 : 15,825.38 = 15,825.38 : x
  2. Step 2: Convert to fraction form
    10,496.25/15,825.38 = 15,825.38/x
  3. Step 3: Cross multiply
    10,496.25x = 15,825.38 × 15,825.38
  4. Step 4: Simplify right side
    10,496.25x = 250,442,493.89
  5. Step 5: Solve for x
    x = 250,442,493.89/10,496.25
  6. Step 6: Final answer
    x = 23,860.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.