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Finding the Third Proportional to 32,472 and 43,420

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Solution

The third proportional to 32,472 and 43,420 is: 58,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,472 : 43,420 = 43,420 : x
  2. Step 2: Convert to fraction form
    32,472/43,420 = 43,420/x
  3. Step 3: Cross multiply
    32,472x = 43,420 × 43,420
  4. Step 4: Simplify right side
    32,472x = 1,885,296,400
  5. Step 5: Solve for x
    x = 1,885,296,400/32,472
  6. Step 6: Final answer
    x = 58,059.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.