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Finding the Third Proportional to 19,848 and 43,584

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Solution

The third proportional to 19,848 and 43,584 is: 95,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 43,584 = 43,584 : x
  2. Step 2: Convert to fraction form
    19,848/43,584 = 43,584/x
  3. Step 3: Cross multiply
    19,848x = 43,584 × 43,584
  4. Step 4: Simplify right side
    19,848x = 1,899,565,056
  5. Step 5: Solve for x
    x = 1,899,565,056/19,848
  6. Step 6: Final answer
    x = 95,705.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.