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Finding the Third Proportional to 4,651 and 6,989

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Solution

The third proportional to 4,651 and 6,989 is: 10,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651 : 6,989 = 6,989 : x
  2. Step 2: Convert to fraction form
    4,651/6,989 = 6,989/x
  3. Step 3: Cross multiply
    4,651x = 6,989 × 6,989
  4. Step 4: Simplify right side
    4,651x = 48,846,121
  5. Step 5: Solve for x
    x = 48,846,121/4,651
  6. Step 6: Final answer
    x = 10,502.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.