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Finding the Third Proportional to 18,063 and 37,575

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Solution

The third proportional to 18,063 and 37,575 is: 78,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,063 : 37,575 = 37,575 : x
  2. Step 2: Convert to fraction form
    18,063/37,575 = 37,575/x
  3. Step 3: Cross multiply
    18,063x = 37,575 × 37,575
  4. Step 4: Simplify right side
    18,063x = 1,411,880,625
  5. Step 5: Solve for x
    x = 1,411,880,625/18,063
  6. Step 6: Final answer
    x = 78,164.24

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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.