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Finding the Third Proportional to 32,380 and 43,745

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Solution

The third proportional to 32,380 and 43,745 is: 59,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380 : 43,745 = 43,745 : x
  2. Step 2: Convert to fraction form
    32,380/43,745 = 43,745/x
  3. Step 3: Cross multiply
    32,380x = 43,745 × 43,745
  4. Step 4: Simplify right side
    32,380x = 1,913,625,025
  5. Step 5: Solve for x
    x = 1,913,625,025/32,380
  6. Step 6: Final answer
    x = 59,098.98

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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.