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Finding the Third Proportional to 18,306 and 37,904

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Solution

The third proportional to 18,306 and 37,904 is: 78,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,306 : 37,904 = 37,904 : x
  2. Step 2: Convert to fraction form
    18,306/37,904 = 37,904/x
  3. Step 3: Cross multiply
    18,306x = 37,904 × 37,904
  4. Step 4: Simplify right side
    18,306x = 1,436,713,216
  5. Step 5: Solve for x
    x = 1,436,713,216/18,306
  6. Step 6: Final answer
    x = 78,483.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.