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Finding the Third Proportional to 39,652 and 59,482

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Solution

The third proportional to 39,652 and 59,482 is: 89,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,652 : 59,482 = 59,482 : x
  2. Step 2: Convert to fraction form
    39,652/59,482 = 59,482/x
  3. Step 3: Cross multiply
    39,652x = 59,482 × 59,482
  4. Step 4: Simplify right side
    39,652x = 3,538,108,324
  5. Step 5: Solve for x
    x = 3,538,108,324/39,652
  6. Step 6: Final answer
    x = 89,229.00

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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.