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Finding the Third Proportional to 39,283.50 and 85,398

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Solution

The third proportional to 39,283.50 and 85,398 is: 185,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,283.50 : 85,398 = 85,398 : x
  2. Step 2: Convert to fraction form
    39,283.50/85,398 = 85,398/x
  3. Step 3: Cross multiply
    39,283.50x = 85,398 × 85,398
  4. Step 4: Simplify right side
    39,283.50x = 7,292,818,404
  5. Step 5: Solve for x
    x = 7,292,818,404/39,283.50
  6. Step 6: Final answer
    x = 185,645.84

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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.