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Finding the Third Proportional to 19,719 and 28,845

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Solution

The third proportional to 19,719 and 28,845 is: 42,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719 : 28,845 = 28,845 : x
  2. Step 2: Convert to fraction form
    19,719/28,845 = 28,845/x
  3. Step 3: Cross multiply
    19,719x = 28,845 × 28,845
  4. Step 4: Simplify right side
    19,719x = 832,034,025
  5. Step 5: Solve for x
    x = 832,034,025/19,719
  6. Step 6: Final answer
    x = 42,194.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.