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Finding the Third Proportional to 19,647 and 42,432

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Solution

The third proportional to 19,647 and 42,432 is: 91,641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647 : 42,432 = 42,432 : x
  2. Step 2: Convert to fraction form
    19,647/42,432 = 42,432/x
  3. Step 3: Cross multiply
    19,647x = 42,432 × 42,432
  4. Step 4: Simplify right side
    19,647x = 1,800,474,624
  5. Step 5: Solve for x
    x = 1,800,474,624/19,647
  6. Step 6: Final answer
    x = 91,641.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.