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Finding the Third Proportional to 19,370 and 28,983

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Solution

The third proportional to 19,370 and 28,983 is: 43,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370 : 28,983 = 28,983 : x
  2. Step 2: Convert to fraction form
    19,370/28,983 = 28,983/x
  3. Step 3: Cross multiply
    19,370x = 28,983 × 28,983
  4. Step 4: Simplify right side
    19,370x = 840,014,289
  5. Step 5: Solve for x
    x = 840,014,289/19,370
  6. Step 6: Final answer
    x = 43,366.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.