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Finding the Third Proportional to 14,640 and 24,672

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Solution

The third proportional to 14,640 and 24,672 is: 41,578.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 24,672 = 24,672 : x
  2. Step 2: Convert to fraction form
    14,640/24,672 = 24,672/x
  3. Step 3: Cross multiply
    14,640x = 24,672 × 24,672
  4. Step 4: Simplify right side
    14,640x = 608,707,584
  5. Step 5: Solve for x
    x = 608,707,584/14,640
  6. Step 6: Final answer
    x = 41,578.39

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.