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Finding the Third Proportional to 18,756 and 25,470

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Solution

The third proportional to 18,756 and 25,470 is: 34,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,756 : 25,470 = 25,470 : x
  2. Step 2: Convert to fraction form
    18,756/25,470 = 25,470/x
  3. Step 3: Cross multiply
    18,756x = 25,470 × 25,470
  4. Step 4: Simplify right side
    18,756x = 648,720,900
  5. Step 5: Solve for x
    x = 648,720,900/18,756
  6. Step 6: Final answer
    x = 34,587.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.