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Finding the Third Proportional to 11,604 and 12,788

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Solution

The third proportional to 11,604 and 12,788 is: 14,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604 : 12,788 = 12,788 : x
  2. Step 2: Convert to fraction form
    11,604/12,788 = 12,788/x
  3. Step 3: Cross multiply
    11,604x = 12,788 × 12,788
  4. Step 4: Simplify right side
    11,604x = 163,532,944
  5. Step 5: Solve for x
    x = 163,532,944/11,604
  6. Step 6: Final answer
    x = 14,092.81

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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.