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Finding the Third Proportional to 8,716 and 13,505

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Solution

The third proportional to 8,716 and 13,505 is: 20,925.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716 : 13,505 = 13,505 : x
  2. Step 2: Convert to fraction form
    8,716/13,505 = 13,505/x
  3. Step 3: Cross multiply
    8,716x = 13,505 × 13,505
  4. Step 4: Simplify right side
    8,716x = 182,385,025
  5. Step 5: Solve for x
    x = 182,385,025/8,716
  6. Step 6: Final answer
    x = 20,925.31

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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.