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Finding the Third Proportional to 19,248 and 25,983

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Solution

The third proportional to 19,248 and 25,983 is: 35,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 25,983 = 25,983 : x
  2. Step 2: Convert to fraction form
    19,248/25,983 = 25,983/x
  3. Step 3: Cross multiply
    19,248x = 25,983 × 25,983
  4. Step 4: Simplify right side
    19,248x = 675,116,289
  5. Step 5: Solve for x
    x = 675,116,289/19,248
  6. Step 6: Final answer
    x = 35,074.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.