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Finding the Third Proportional to 12,064 and 24,416

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Solution

The third proportional to 12,064 and 24,416 is: 49,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064 : 24,416 = 24,416 : x
  2. Step 2: Convert to fraction form
    12,064/24,416 = 24,416/x
  3. Step 3: Cross multiply
    12,064x = 24,416 × 24,416
  4. Step 4: Simplify right side
    12,064x = 596,141,056
  5. Step 5: Solve for x
    x = 596,141,056/12,064
  6. Step 6: Final answer
    x = 49,414.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.