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Finding the Third Proportional to 28,192 and 41,964

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Solution

The third proportional to 28,192 and 41,964 is: 62,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,192 : 41,964 = 41,964 : x
  2. Step 2: Convert to fraction form
    28,192/41,964 = 41,964/x
  3. Step 3: Cross multiply
    28,192x = 41,964 × 41,964
  4. Step 4: Simplify right side
    28,192x = 1,760,977,296
  5. Step 5: Solve for x
    x = 1,760,977,296/28,192
  6. Step 6: Final answer
    x = 62,463.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.