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Finding the Third Proportional to 17,458 and 27,870

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Solution

The third proportional to 17,458 and 27,870 is: 44,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458 : 27,870 = 27,870 : x
  2. Step 2: Convert to fraction form
    17,458/27,870 = 27,870/x
  3. Step 3: Cross multiply
    17,458x = 27,870 × 27,870
  4. Step 4: Simplify right side
    17,458x = 776,736,900
  5. Step 5: Solve for x
    x = 776,736,900/17,458
  6. Step 6: Final answer
    x = 44,491.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.