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Finding the Third Proportional to 14,352 and 29,676

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Solution

The third proportional to 14,352 and 29,676 is: 61,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352 : 29,676 = 29,676 : x
  2. Step 2: Convert to fraction form
    14,352/29,676 = 29,676/x
  3. Step 3: Cross multiply
    14,352x = 29,676 × 29,676
  4. Step 4: Simplify right side
    14,352x = 880,664,976
  5. Step 5: Solve for x
    x = 880,664,976/14,352
  6. Step 6: Final answer
    x = 61,361.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.