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Finding the Third Proportional to 43,824 and 96,432

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Solution

The third proportional to 43,824 and 96,432 is: 212,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,824 : 96,432 = 96,432 : x
  2. Step 2: Convert to fraction form
    43,824/96,432 = 96,432/x
  3. Step 3: Cross multiply
    43,824x = 96,432 × 96,432
  4. Step 4: Simplify right side
    43,824x = 9,299,130,624
  5. Step 5: Solve for x
    x = 9,299,130,624/43,824
  6. Step 6: Final answer
    x = 212,192.65

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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.