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Finding the Third Proportional to 16,097 and 23,664

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Solution

The third proportional to 16,097 and 23,664 is: 34,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097 : 23,664 = 23,664 : x
  2. Step 2: Convert to fraction form
    16,097/23,664 = 23,664/x
  3. Step 3: Cross multiply
    16,097x = 23,664 × 23,664
  4. Step 4: Simplify right side
    16,097x = 559,984,896
  5. Step 5: Solve for x
    x = 559,984,896/16,097
  6. Step 6: Final answer
    x = 34,788.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.