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Finding the Third Proportional to 23,957 and 55,955

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Solution

The third proportional to 23,957 and 55,955 is: 130,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957 : 55,955 = 55,955 : x
  2. Step 2: Convert to fraction form
    23,957/55,955 = 55,955/x
  3. Step 3: Cross multiply
    23,957x = 55,955 × 55,955
  4. Step 4: Simplify right side
    23,957x = 3,130,962,025
  5. Step 5: Solve for x
    x = 3,130,962,025/23,957
  6. Step 6: Final answer
    x = 130,690.91

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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.