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Finding the Third Proportional to 39,398.50 and 85,361

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Solution

The third proportional to 39,398.50 and 85,361 is: 184,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,398.50 : 85,361 = 85,361 : x
  2. Step 2: Convert to fraction form
    39,398.50/85,361 = 85,361/x
  3. Step 3: Cross multiply
    39,398.50x = 85,361 × 85,361
  4. Step 4: Simplify right side
    39,398.50x = 7,286,500,321
  5. Step 5: Solve for x
    x = 7,286,500,321/39,398.50
  6. Step 6: Final answer
    x = 184,943.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.