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Finding the Third Proportional to 27,322 and 58,958

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Solution

The third proportional to 27,322 and 58,958 is: 127,225.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322 : 58,958 = 58,958 : x
  2. Step 2: Convert to fraction form
    27,322/58,958 = 58,958/x
  3. Step 3: Cross multiply
    27,322x = 58,958 × 58,958
  4. Step 4: Simplify right side
    27,322x = 3,476,045,764
  5. Step 5: Solve for x
    x = 3,476,045,764/27,322
  6. Step 6: Final answer
    x = 127,225.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.