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Finding the Third Proportional to 26,594 and 56,644

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Solution

The third proportional to 26,594 and 56,644 is: 120,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594 : 56,644 = 56,644 : x
  2. Step 2: Convert to fraction form
    26,594/56,644 = 56,644/x
  3. Step 3: Cross multiply
    26,594x = 56,644 × 56,644
  4. Step 4: Simplify right side
    26,594x = 3,208,542,736
  5. Step 5: Solve for x
    x = 3,208,542,736/26,594
  6. Step 6: Final answer
    x = 120,649.12

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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.