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Finding the Third Proportional to 17,680 and 40,870

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Solution

The third proportional to 17,680 and 40,870 is: 94,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680 : 40,870 = 40,870 : x
  2. Step 2: Convert to fraction form
    17,680/40,870 = 40,870/x
  3. Step 3: Cross multiply
    17,680x = 40,870 × 40,870
  4. Step 4: Simplify right side
    17,680x = 1,670,356,900
  5. Step 5: Solve for x
    x = 1,670,356,900/17,680
  6. Step 6: Final answer
    x = 94,477.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.