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Finding the Third Proportional to 17,870 and 38,818

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Solution

The third proportional to 17,870 and 38,818 is: 84,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870 : 38,818 = 38,818 : x
  2. Step 2: Convert to fraction form
    17,870/38,818 = 38,818/x
  3. Step 3: Cross multiply
    17,870x = 38,818 × 38,818
  4. Step 4: Simplify right side
    17,870x = 1,506,837,124
  5. Step 5: Solve for x
    x = 1,506,837,124/17,870
  6. Step 6: Final answer
    x = 84,322.17

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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.