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Finding the Third Proportional to 39,541.50 and 59,247

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Solution

The third proportional to 39,541.50 and 59,247 is: 88,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,541.50 : 59,247 = 59,247 : x
  2. Step 2: Convert to fraction form
    39,541.50/59,247 = 59,247/x
  3. Step 3: Cross multiply
    39,541.50x = 59,247 × 59,247
  4. Step 4: Simplify right side
    39,541.50x = 3,510,207,009
  5. Step 5: Solve for x
    x = 3,510,207,009/39,541.50
  6. Step 6: Final answer
    x = 88,772.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.