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Finding the Third Proportional to 12,576 and 27,315

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Solution

The third proportional to 12,576 and 27,315 is: 59,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576 : 27,315 = 27,315 : x
  2. Step 2: Convert to fraction form
    12,576/27,315 = 27,315/x
  3. Step 3: Cross multiply
    12,576x = 27,315 × 27,315
  4. Step 4: Simplify right side
    12,576x = 746,109,225
  5. Step 5: Solve for x
    x = 746,109,225/12,576
  6. Step 6: Final answer
    x = 59,328.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.