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Finding the Third Proportional to 18,710 and 28,756

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Solution

The third proportional to 18,710 and 28,756 is: 44,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,710 : 28,756 = 28,756 : x
  2. Step 2: Convert to fraction form
    18,710/28,756 = 28,756/x
  3. Step 3: Cross multiply
    18,710x = 28,756 × 28,756
  4. Step 4: Simplify right side
    18,710x = 826,907,536
  5. Step 5: Solve for x
    x = 826,907,536/18,710
  6. Step 6: Final answer
    x = 44,196.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.