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Finding the Third Proportional to 16,433 and 35,633

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Solution

The third proportional to 16,433 and 35,633 is: 77,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433 : 35,633 = 35,633 : x
  2. Step 2: Convert to fraction form
    16,433/35,633 = 35,633/x
  3. Step 3: Cross multiply
    16,433x = 35,633 × 35,633
  4. Step 4: Simplify right side
    16,433x = 1,269,710,689
  5. Step 5: Solve for x
    x = 1,269,710,689/16,433
  6. Step 6: Final answer
    x = 77,265.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.