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Finding the Third Proportional to 32,274 and 48,896

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Solution

The third proportional to 32,274 and 48,896 is: 74,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274 : 48,896 = 48,896 : x
  2. Step 2: Convert to fraction form
    32,274/48,896 = 48,896/x
  3. Step 3: Cross multiply
    32,274x = 48,896 × 48,896
  4. Step 4: Simplify right side
    32,274x = 2,390,818,816
  5. Step 5: Solve for x
    x = 2,390,818,816/32,274
  6. Step 6: Final answer
    x = 74,078.79

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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.