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Finding the Third Proportional to 12,657 and 18,526

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Solution

The third proportional to 12,657 and 18,526 is: 27,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657 : 18,526 = 18,526 : x
  2. Step 2: Convert to fraction form
    12,657/18,526 = 18,526/x
  3. Step 3: Cross multiply
    12,657x = 18,526 × 18,526
  4. Step 4: Simplify right side
    12,657x = 343,212,676
  5. Step 5: Solve for x
    x = 343,212,676/12,657
  6. Step 6: Final answer
    x = 27,116.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.