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Finding the Third Proportional to 32,398 and 49,274

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Solution

The third proportional to 32,398 and 49,274 is: 74,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398 : 49,274 = 49,274 : x
  2. Step 2: Convert to fraction form
    32,398/49,274 = 49,274/x
  3. Step 3: Cross multiply
    32,398x = 49,274 × 49,274
  4. Step 4: Simplify right side
    32,398x = 2,427,927,076
  5. Step 5: Solve for x
    x = 2,427,927,076/32,398
  6. Step 6: Final answer
    x = 74,940.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.