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Finding the Third Proportional to 10,284 and 13,935.38

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Solution

The third proportional to 10,284 and 13,935.38 is: 18,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284 : 13,935.38 = 13,935.38 : x
  2. Step 2: Convert to fraction form
    10,284/13,935.38 = 13,935.38/x
  3. Step 3: Cross multiply
    10,284x = 13,935.38 × 13,935.38
  4. Step 4: Simplify right side
    10,284x = 194,194,676.39
  5. Step 5: Solve for x
    x = 194,194,676.39/10,284
  6. Step 6: Final answer
    x = 18,883.19

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.