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Finding the Third Proportional to 16,669.50 and 23,586

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Solution

The third proportional to 16,669.50 and 23,586 is: 33,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,669.50 : 23,586 = 23,586 : x
  2. Step 2: Convert to fraction form
    16,669.50/23,586 = 23,586/x
  3. Step 3: Cross multiply
    16,669.50x = 23,586 × 23,586
  4. Step 4: Simplify right side
    16,669.50x = 556,299,396
  5. Step 5: Solve for x
    x = 556,299,396/16,669.50
  6. Step 6: Final answer
    x = 33,372.29

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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.