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Finding the Third Proportional to 12,408 and 27,576

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Solution

The third proportional to 12,408 and 27,576 is: 61,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408 : 27,576 = 27,576 : x
  2. Step 2: Convert to fraction form
    12,408/27,576 = 27,576/x
  3. Step 3: Cross multiply
    12,408x = 27,576 × 27,576
  4. Step 4: Simplify right side
    12,408x = 760,435,776
  5. Step 5: Solve for x
    x = 760,435,776/12,408
  6. Step 6: Final answer
    x = 61,285.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.