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Finding the Third Proportional to 13,382 and 20,788

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Solution

The third proportional to 13,382 and 20,788 is: 32,292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382 : 20,788 = 20,788 : x
  2. Step 2: Convert to fraction form
    13,382/20,788 = 20,788/x
  3. Step 3: Cross multiply
    13,382x = 20,788 × 20,788
  4. Step 4: Simplify right side
    13,382x = 432,140,944
  5. Step 5: Solve for x
    x = 432,140,944/13,382
  6. Step 6: Final answer
    x = 32,292.70

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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.