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Finding the Third Proportional to 26,588 and 56,632

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Solution

The third proportional to 26,588 and 56,632 is: 120,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588 : 56,632 = 56,632 : x
  2. Step 2: Convert to fraction form
    26,588/56,632 = 56,632/x
  3. Step 3: Cross multiply
    26,588x = 56,632 × 56,632
  4. Step 4: Simplify right side
    26,588x = 3,207,183,424
  5. Step 5: Solve for x
    x = 3,207,183,424/26,588
  6. Step 6: Final answer
    x = 120,625.22

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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.