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Finding the Third Proportional to 32,576 and 51,778

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Solution

The third proportional to 32,576 and 51,778 is: 82,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576 : 51,778 = 51,778 : x
  2. Step 2: Convert to fraction form
    32,576/51,778 = 51,778/x
  3. Step 3: Cross multiply
    32,576x = 51,778 × 51,778
  4. Step 4: Simplify right side
    32,576x = 2,680,961,284
  5. Step 5: Solve for x
    x = 2,680,961,284/32,576
  6. Step 6: Final answer
    x = 82,298.66

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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.