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Finding the Third Proportional to 19,216 and 25,848

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Solution

The third proportional to 19,216 and 25,848 is: 34,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,216 : 25,848 = 25,848 : x
  2. Step 2: Convert to fraction form
    19,216/25,848 = 25,848/x
  3. Step 3: Cross multiply
    19,216x = 25,848 × 25,848
  4. Step 4: Simplify right side
    19,216x = 668,119,104
  5. Step 5: Solve for x
    x = 668,119,104/19,216
  6. Step 6: Final answer
    x = 34,768.90

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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.