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Finding the Third Proportional to 18,324 and 37,746

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Solution

The third proportional to 18,324 and 37,746 is: 77,753.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,324 : 37,746 = 37,746 : x
  2. Step 2: Convert to fraction form
    18,324/37,746 = 37,746/x
  3. Step 3: Cross multiply
    18,324x = 37,746 × 37,746
  4. Step 4: Simplify right side
    18,324x = 1,424,760,516
  5. Step 5: Solve for x
    x = 1,424,760,516/18,324
  6. Step 6: Final answer
    x = 77,753.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.