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Finding the Third Proportional to 27,645 and 56,931

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Solution

The third proportional to 27,645 and 56,931 is: 117,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645 : 56,931 = 56,931 : x
  2. Step 2: Convert to fraction form
    27,645/56,931 = 56,931/x
  3. Step 3: Cross multiply
    27,645x = 56,931 × 56,931
  4. Step 4: Simplify right side
    27,645x = 3,241,138,761
  5. Step 5: Solve for x
    x = 3,241,138,761/27,645
  6. Step 6: Final answer
    x = 117,241.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.