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Finding the Third Proportional to 32,384 and 48,606

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Solution

The third proportional to 32,384 and 48,606 is: 72,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384 : 48,606 = 48,606 : x
  2. Step 2: Convert to fraction form
    32,384/48,606 = 48,606/x
  3. Step 3: Cross multiply
    32,384x = 48,606 × 48,606
  4. Step 4: Simplify right side
    32,384x = 2,362,543,236
  5. Step 5: Solve for x
    x = 2,362,543,236/32,384
  6. Step 6: Final answer
    x = 72,954.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.