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Finding the Third Proportional to 9,729 and 14,958

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Solution

The third proportional to 9,729 and 14,958 is: 22,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729 : 14,958 = 14,958 : x
  2. Step 2: Convert to fraction form
    9,729/14,958 = 14,958/x
  3. Step 3: Cross multiply
    9,729x = 14,958 × 14,958
  4. Step 4: Simplify right side
    9,729x = 223,741,764
  5. Step 5: Solve for x
    x = 223,741,764/9,729
  6. Step 6: Final answer
    x = 22,997.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.