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Finding the Third Proportional to 27,248 and 40,964

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Solution

The third proportional to 27,248 and 40,964 is: 61,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,248 : 40,964 = 40,964 : x
  2. Step 2: Convert to fraction form
    27,248/40,964 = 40,964/x
  3. Step 3: Cross multiply
    27,248x = 40,964 × 40,964
  4. Step 4: Simplify right side
    27,248x = 1,678,049,296
  5. Step 5: Solve for x
    x = 1,678,049,296/27,248
  6. Step 6: Final answer
    x = 61,584.31

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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.