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Finding the Third Proportional to 13,653 and 28,763

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Solution

The third proportional to 13,653 and 28,763 is: 60,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653 : 28,763 = 28,763 : x
  2. Step 2: Convert to fraction form
    13,653/28,763 = 28,763/x
  3. Step 3: Cross multiply
    13,653x = 28,763 × 28,763
  4. Step 4: Simplify right side
    13,653x = 827,310,169
  5. Step 5: Solve for x
    x = 827,310,169/13,653
  6. Step 6: Final answer
    x = 60,595.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.