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Finding the Third Proportional to 14,764 and 21,846

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Solution

The third proportional to 14,764 and 21,846 is: 32,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764 : 21,846 = 21,846 : x
  2. Step 2: Convert to fraction form
    14,764/21,846 = 21,846/x
  3. Step 3: Cross multiply
    14,764x = 21,846 × 21,846
  4. Step 4: Simplify right side
    14,764x = 477,247,716
  5. Step 5: Solve for x
    x = 477,247,716/14,764
  6. Step 6: Final answer
    x = 32,325.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.