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Finding the Third Proportional to 23,971 and 55,989

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Solution

The third proportional to 23,971 and 55,989 is: 130,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971 : 55,989 = 55,989 : x
  2. Step 2: Convert to fraction form
    23,971/55,989 = 55,989/x
  3. Step 3: Cross multiply
    23,971x = 55,989 × 55,989
  4. Step 4: Simplify right side
    23,971x = 3,134,768,121
  5. Step 5: Solve for x
    x = 3,134,768,121/23,971
  6. Step 6: Final answer
    x = 130,773.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.