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Finding the Third Proportional to 18,176.25 and 39,217

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Solution

The third proportional to 18,176.25 and 39,217 is: 84,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.25 : 39,217 = 39,217 : x
  2. Step 2: Convert to fraction form
    18,176.25/39,217 = 39,217/x
  3. Step 3: Cross multiply
    18,176.25x = 39,217 × 39,217
  4. Step 4: Simplify right side
    18,176.25x = 1,537,973,089
  5. Step 5: Solve for x
    x = 1,537,973,089/18,176.25
  6. Step 6: Final answer
    x = 84,614.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.