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Finding the Third Proportional to 10,509 and 15,983

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Solution

The third proportional to 10,509 and 15,983 is: 24,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 15,983 = 15,983 : x
  2. Step 2: Convert to fraction form
    10,509/15,983 = 15,983/x
  3. Step 3: Cross multiply
    10,509x = 15,983 × 15,983
  4. Step 4: Simplify right side
    10,509x = 255,456,289
  5. Step 5: Solve for x
    x = 255,456,289/10,509
  6. Step 6: Final answer
    x = 24,308.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.