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Finding the Third Proportional to 16,076 and 18,308

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Solution

The third proportional to 16,076 and 18,308 is: 20,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076 : 18,308 = 18,308 : x
  2. Step 2: Convert to fraction form
    16,076/18,308 = 18,308/x
  3. Step 3: Cross multiply
    16,076x = 18,308 × 18,308
  4. Step 4: Simplify right side
    16,076x = 335,182,864
  5. Step 5: Solve for x
    x = 335,182,864/16,076
  6. Step 6: Final answer
    x = 20,849.89

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.