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Finding the Third Proportional to 16,663 and 23,733

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Solution

The third proportional to 16,663 and 23,733 is: 33,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663 : 23,733 = 23,733 : x
  2. Step 2: Convert to fraction form
    16,663/23,733 = 23,733/x
  3. Step 3: Cross multiply
    16,663x = 23,733 × 23,733
  4. Step 4: Simplify right side
    16,663x = 563,255,289
  5. Step 5: Solve for x
    x = 563,255,289/16,663
  6. Step 6: Final answer
    x = 33,802.75

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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.