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Finding the Third Proportional to 16,553 and 33,835

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Solution

The third proportional to 16,553 and 33,835 is: 69,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553 : 33,835 = 33,835 : x
  2. Step 2: Convert to fraction form
    16,553/33,835 = 33,835/x
  3. Step 3: Cross multiply
    16,553x = 33,835 × 33,835
  4. Step 4: Simplify right side
    16,553x = 1,144,807,225
  5. Step 5: Solve for x
    x = 1,144,807,225/16,553
  6. Step 6: Final answer
    x = 69,160.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.