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Finding the Third Proportional to 18,006 and 37,455

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Solution

The third proportional to 18,006 and 37,455 is: 77,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,006 : 37,455 = 37,455 : x
  2. Step 2: Convert to fraction form
    18,006/37,455 = 37,455/x
  3. Step 3: Cross multiply
    18,006x = 37,455 × 37,455
  4. Step 4: Simplify right side
    18,006x = 1,402,877,025
  5. Step 5: Solve for x
    x = 1,402,877,025/18,006
  6. Step 6: Final answer
    x = 77,911.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.