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Finding the Third Proportional to 32,296 and 43,624

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Solution

The third proportional to 32,296 and 43,624 is: 58,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296 : 43,624 = 43,624 : x
  2. Step 2: Convert to fraction form
    32,296/43,624 = 43,624/x
  3. Step 3: Cross multiply
    32,296x = 43,624 × 43,624
  4. Step 4: Simplify right side
    32,296x = 1,903,053,376
  5. Step 5: Solve for x
    x = 1,903,053,376/32,296
  6. Step 6: Final answer
    x = 58,925.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.