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Finding the Third Proportional to 16,076 and 24,097

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Solution

The third proportional to 16,076 and 24,097 is: 36,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 24,097 = 24,097 : x
  2. Step 2: Convert to fraction form
    16,076/24,097 = 24,097/x
  3. Step 3: Cross multiply
    16,076x = 24,097 × 24,097
  4. Step 4: Simplify right side
    16,076x = 580,665,409
  5. Step 5: Solve for x
    x = 580,665,409/16,076
  6. Step 6: Final answer
    x = 36,120.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.