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Finding the Third Proportional to 18,582 and 38,070

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Solution

The third proportional to 18,582 and 38,070 is: 77,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582 : 38,070 = 38,070 : x
  2. Step 2: Convert to fraction form
    18,582/38,070 = 38,070/x
  3. Step 3: Cross multiply
    18,582x = 38,070 × 38,070
  4. Step 4: Simplify right side
    18,582x = 1,449,324,900
  5. Step 5: Solve for x
    x = 1,449,324,900/18,582
  6. Step 6: Final answer
    x = 77,996.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.