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Finding the Third Proportional to 11,433 and 12,657

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Solution

The third proportional to 11,433 and 12,657 is: 14,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,433 : 12,657 = 12,657 : x
  2. Step 2: Convert to fraction form
    11,433/12,657 = 12,657/x
  3. Step 3: Cross multiply
    11,433x = 12,657 × 12,657
  4. Step 4: Simplify right side
    11,433x = 160,199,649
  5. Step 5: Solve for x
    x = 160,199,649/11,433
  6. Step 6: Final answer
    x = 14,012.04

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.