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Finding the Third Proportional to 18,288 and 42,732

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Solution

The third proportional to 18,288 and 42,732 is: 99,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 42,732 = 42,732 : x
  2. Step 2: Convert to fraction form
    18,288/42,732 = 42,732/x
  3. Step 3: Cross multiply
    18,288x = 42,732 × 42,732
  4. Step 4: Simplify right side
    18,288x = 1,826,023,824
  5. Step 5: Solve for x
    x = 1,826,023,824/18,288
  6. Step 6: Final answer
    x = 99,848.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.