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Finding the Third Proportional to 9,156 and 12,468

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Solution

The third proportional to 9,156 and 12,468 is: 16,978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 12,468 = 12,468 : x
  2. Step 2: Convert to fraction form
    9,156/12,468 = 12,468/x
  3. Step 3: Cross multiply
    9,156x = 12,468 × 12,468
  4. Step 4: Simplify right side
    9,156x = 155,451,024
  5. Step 5: Solve for x
    x = 155,451,024/9,156
  6. Step 6: Final answer
    x = 16,978.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.