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Finding the Third Proportional to 9,460 and 14,782

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Solution

The third proportional to 9,460 and 14,782 is: 23,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460 : 14,782 = 14,782 : x
  2. Step 2: Convert to fraction form
    9,460/14,782 = 14,782/x
  3. Step 3: Cross multiply
    9,460x = 14,782 × 14,782
  4. Step 4: Simplify right side
    9,460x = 218,507,524
  5. Step 5: Solve for x
    x = 218,507,524/9,460
  6. Step 6: Final answer
    x = 23,098.05

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Why These Related Problems?

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