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Finding the Third Proportional to 6,925 and 10,820

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Solution

The third proportional to 6,925 and 10,820 is: 16,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925 : 10,820 = 10,820 : x
  2. Step 2: Convert to fraction form
    6,925/10,820 = 10,820/x
  3. Step 3: Cross multiply
    6,925x = 10,820 × 10,820
  4. Step 4: Simplify right side
    6,925x = 117,072,400
  5. Step 5: Solve for x
    x = 117,072,400/6,925
  6. Step 6: Final answer
    x = 16,905.76

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.