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Finding the Third Proportional to 10,252 and 15,958

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Solution

The third proportional to 10,252 and 15,958 is: 24,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252 : 15,958 = 15,958 : x
  2. Step 2: Convert to fraction form
    10,252/15,958 = 15,958/x
  3. Step 3: Cross multiply
    10,252x = 15,958 × 15,958
  4. Step 4: Simplify right side
    10,252x = 254,657,764
  5. Step 5: Solve for x
    x = 254,657,764/10,252
  6. Step 6: Final answer
    x = 24,839.81

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.