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Finding the Third Proportional to 27,141 and 58,929

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Solution

The third proportional to 27,141 and 58,929 is: 127,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141 : 58,929 = 58,929 : x
  2. Step 2: Convert to fraction form
    27,141/58,929 = 58,929/x
  3. Step 3: Cross multiply
    27,141x = 58,929 × 58,929
  4. Step 4: Simplify right side
    27,141x = 3,472,627,041
  5. Step 5: Solve for x
    x = 3,472,627,041/27,141
  6. Step 6: Final answer
    x = 127,947.65

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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.