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Finding the Third Proportional to 25,814 and 55,971

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Solution

The third proportional to 25,814 and 55,971 is: 121,358.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814 : 55,971 = 55,971 : x
  2. Step 2: Convert to fraction form
    25,814/55,971 = 55,971/x
  3. Step 3: Cross multiply
    25,814x = 55,971 × 55,971
  4. Step 4: Simplify right side
    25,814x = 3,132,752,841
  5. Step 5: Solve for x
    x = 3,132,752,841/25,814
  6. Step 6: Final answer
    x = 121,358.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.