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Finding the Third Proportional to 11,886 and 24,060

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Solution

The third proportional to 11,886 and 24,060 is: 48,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 24,060 = 24,060 : x
  2. Step 2: Convert to fraction form
    11,886/24,060 = 24,060/x
  3. Step 3: Cross multiply
    11,886x = 24,060 × 24,060
  4. Step 4: Simplify right side
    11,886x = 578,883,600
  5. Step 5: Solve for x
    x = 578,883,600/11,886
  6. Step 6: Final answer
    x = 48,702.98

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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.