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Finding the Third Proportional to 13,535 and 19,892

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Solution

The third proportional to 13,535 and 19,892 is: 29,234.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535 : 19,892 = 19,892 : x
  2. Step 2: Convert to fraction form
    13,535/19,892 = 19,892/x
  3. Step 3: Cross multiply
    13,535x = 19,892 × 19,892
  4. Step 4: Simplify right side
    13,535x = 395,691,664
  5. Step 5: Solve for x
    x = 395,691,664/13,535
  6. Step 6: Final answer
    x = 29,234.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.