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Finding the Third Proportional to 39,258.50 and 80,596

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Solution

The third proportional to 39,258.50 and 80,596 is: 165,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,258.50 : 80,596 = 80,596 : x
  2. Step 2: Convert to fraction form
    39,258.50/80,596 = 80,596/x
  3. Step 3: Cross multiply
    39,258.50x = 80,596 × 80,596
  4. Step 4: Simplify right side
    39,258.50x = 6,495,715,216
  5. Step 5: Solve for x
    x = 6,495,715,216/39,258.50
  6. Step 6: Final answer
    x = 165,460.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.