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Finding the Third Proportional to 12,589 and 26,770

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Solution

The third proportional to 12,589 and 26,770 is: 56,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589 : 26,770 = 26,770 : x
  2. Step 2: Convert to fraction form
    12,589/26,770 = 26,770/x
  3. Step 3: Cross multiply
    12,589x = 26,770 × 26,770
  4. Step 4: Simplify right side
    12,589x = 716,632,900
  5. Step 5: Solve for x
    x = 716,632,900/12,589
  6. Step 6: Final answer
    x = 56,925.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.