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Finding the Third Proportional to 27,146 and 58,933

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Solution

The third proportional to 27,146 and 58,933 is: 127,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,146 : 58,933 = 58,933 : x
  2. Step 2: Convert to fraction form
    27,146/58,933 = 58,933/x
  3. Step 3: Cross multiply
    27,146x = 58,933 × 58,933
  4. Step 4: Simplify right side
    27,146x = 3,473,098,489
  5. Step 5: Solve for x
    x = 3,473,098,489/27,146
  6. Step 6: Final answer
    x = 127,941.45

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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.