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Finding the Third Proportional to 16,533 and 34,699.50

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Solution

The third proportional to 16,533 and 34,699.50 is: 72,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,533 : 34,699.50 = 34,699.50 : x
  2. Step 2: Convert to fraction form
    16,533/34,699.50 = 34,699.50/x
  3. Step 3: Cross multiply
    16,533x = 34,699.50 × 34,699.50
  4. Step 4: Simplify right side
    16,533x = 1,204,055,300.25
  5. Step 5: Solve for x
    x = 1,204,055,300.25/16,533
  6. Step 6: Final answer
    x = 72,827.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.