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Finding the Third Proportional to 12,984 and 27,435

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Solution

The third proportional to 12,984 and 27,435 is: 57,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984 : 27,435 = 27,435 : x
  2. Step 2: Convert to fraction form
    12,984/27,435 = 27,435/x
  3. Step 3: Cross multiply
    12,984x = 27,435 × 27,435
  4. Step 4: Simplify right side
    12,984x = 752,679,225
  5. Step 5: Solve for x
    x = 752,679,225/12,984
  6. Step 6: Final answer
    x = 57,969.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.