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Finding the Third Proportional to 32,176 and 51,200

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Solution

The third proportional to 32,176 and 51,200 is: 81,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176 : 51,200 = 51,200 : x
  2. Step 2: Convert to fraction form
    32,176/51,200 = 51,200/x
  3. Step 3: Cross multiply
    32,176x = 51,200 × 51,200
  4. Step 4: Simplify right side
    32,176x = 2,621,440,000
  5. Step 5: Solve for x
    x = 2,621,440,000/32,176
  6. Step 6: Final answer
    x = 81,471.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.