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Finding the Third Proportional to 16,188 and 25,146

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Solution

The third proportional to 16,188 and 25,146 is: 39,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188 : 25,146 = 25,146 : x
  2. Step 2: Convert to fraction form
    16,188/25,146 = 25,146/x
  3. Step 3: Cross multiply
    16,188x = 25,146 × 25,146
  4. Step 4: Simplify right side
    16,188x = 632,321,316
  5. Step 5: Solve for x
    x = 632,321,316/16,188
  6. Step 6: Final answer
    x = 39,061.11

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.