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Finding the Third Proportional to 12,965 and 15,526

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Solution

The third proportional to 12,965 and 15,526 is: 18,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965 : 15,526 = 15,526 : x
  2. Step 2: Convert to fraction form
    12,965/15,526 = 15,526/x
  3. Step 3: Cross multiply
    12,965x = 15,526 × 15,526
  4. Step 4: Simplify right side
    12,965x = 241,056,676
  5. Step 5: Solve for x
    x = 241,056,676/12,965
  6. Step 6: Final answer
    x = 18,592.88

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.