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Finding the Third Proportional to 30,192 and 65,424

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Solution

The third proportional to 30,192 and 65,424 is: 141,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192 : 65,424 = 65,424 : x
  2. Step 2: Convert to fraction form
    30,192/65,424 = 65,424/x
  3. Step 3: Cross multiply
    30,192x = 65,424 × 65,424
  4. Step 4: Simplify right side
    30,192x = 4,280,299,776
  5. Step 5: Solve for x
    x = 4,280,299,776/30,192
  6. Step 6: Final answer
    x = 141,769.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.