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Finding the Third Proportional to 11,548 and 12,732

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Solution

The third proportional to 11,548 and 12,732 is: 14,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548 : 12,732 = 12,732 : x
  2. Step 2: Convert to fraction form
    11,548/12,732 = 12,732/x
  3. Step 3: Cross multiply
    11,548x = 12,732 × 12,732
  4. Step 4: Simplify right side
    11,548x = 162,103,824
  5. Step 5: Solve for x
    x = 162,103,824/11,548
  6. Step 6: Final answer
    x = 14,037.39

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.