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Finding the Third Proportional to 16,669.13 and 23,743.13

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Solution

The third proportional to 16,669.13 and 23,743.13 is: 33,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669.13 : 23,743.13 = 23,743.13 : x
  2. Step 2: Convert to fraction form
    16,669.13/23,743.13 = 23,743.13/x
  3. Step 3: Cross multiply
    16,669.13x = 23,743.13 × 23,743.13
  4. Step 4: Simplify right side
    16,669.13x = 563,735,984.77
  5. Step 5: Solve for x
    x = 563,735,984.77/16,669.13
  6. Step 6: Final answer
    x = 33,819.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.