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Finding the Third Proportional to 12,788 and 18,788

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Solution

The third proportional to 12,788 and 18,788 is: 27,603.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788 : 18,788 = 18,788 : x
  2. Step 2: Convert to fraction form
    12,788/18,788 = 18,788/x
  3. Step 3: Cross multiply
    12,788x = 18,788 × 18,788
  4. Step 4: Simplify right side
    12,788x = 352,988,944
  5. Step 5: Solve for x
    x = 352,988,944/12,788
  6. Step 6: Final answer
    x = 27,603.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.