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Finding the Third Proportional to 16,534.13 and 23,383.69

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Solution

The third proportional to 16,534.13 and 23,383.69 is: 33,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.13 : 23,383.69 = 23,383.69 : x
  2. Step 2: Convert to fraction form
    16,534.13/23,383.69 = 23,383.69/x
  3. Step 3: Cross multiply
    16,534.13x = 23,383.69 × 23,383.69
  4. Step 4: Simplify right side
    16,534.13x = 546,796,841.10
  5. Step 5: Solve for x
    x = 546,796,841.10/16,534.13
  6. Step 6: Final answer
    x = 33,070.81

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.