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Finding the Third Proportional to 39,402.94 and 85,503.94

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Solution

The third proportional to 39,402.94 and 85,503.94 is: 185,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,402.94 : 85,503.94 = 85,503.94 : x
  2. Step 2: Convert to fraction form
    39,402.94/85,503.94 = 85,503.94/x
  3. Step 3: Cross multiply
    39,402.94x = 85,503.94 × 85,503.94
  4. Step 4: Simplify right side
    39,402.94x = 7,310,923,328.00
  5. Step 5: Solve for x
    x = 7,310,923,328.00/39,402.94
  6. Step 6: Final answer
    x = 185,542.60

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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.