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Finding the Third Proportional to 10,365.26 and 15,933.38

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Solution

The third proportional to 10,365.26 and 15,933.38 is: 24,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.26 : 15,933.38 = 15,933.38 : x
  2. Step 2: Convert to fraction form
    10,365.26/15,933.38 = 15,933.38/x
  3. Step 3: Cross multiply
    10,365.26x = 15,933.38 × 15,933.38
  4. Step 4: Simplify right side
    10,365.26x = 253,872,438.89
  5. Step 5: Solve for x
    x = 253,872,438.89/10,365.26
  6. Step 6: Final answer
    x = 24,492.63

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.