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Finding the Third Proportional to 32,456 and 47,453

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Solution

The third proportional to 32,456 and 47,453 is: 69,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,456 : 47,453 = 47,453 : x
  2. Step 2: Convert to fraction form
    32,456/47,453 = 47,453/x
  3. Step 3: Cross multiply
    32,456x = 47,453 × 47,453
  4. Step 4: Simplify right side
    32,456x = 2,251,787,209
  5. Step 5: Solve for x
    x = 2,251,787,209/32,456
  6. Step 6: Final answer
    x = 69,379.69

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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.