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Finding the Third Proportional to 6,474 and 10,260

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Solution

The third proportional to 6,474 and 10,260 is: 16,260.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 10,260 = 10,260 : x
  2. Step 2: Convert to fraction form
    6,474/10,260 = 10,260/x
  3. Step 3: Cross multiply
    6,474x = 10,260 × 10,260
  4. Step 4: Simplify right side
    6,474x = 105,267,600
  5. Step 5: Solve for x
    x = 105,267,600/6,474
  6. Step 6: Final answer
    x = 16,260.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.