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Finding the Third Proportional to 32,530 and 47,559

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Solution

The third proportional to 32,530 and 47,559 is: 69,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,530 : 47,559 = 47,559 : x
  2. Step 2: Convert to fraction form
    32,530/47,559 = 47,559/x
  3. Step 3: Cross multiply
    32,530x = 47,559 × 47,559
  4. Step 4: Simplify right side
    32,530x = 2,261,858,481
  5. Step 5: Solve for x
    x = 2,261,858,481/32,530
  6. Step 6: Final answer
    x = 69,531.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.