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Finding the Third Proportional to 32,070 and 43,689

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Solution

The third proportional to 32,070 and 43,689 is: 59,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,070 : 43,689 = 43,689 : x
  2. Step 2: Convert to fraction form
    32,070/43,689 = 43,689/x
  3. Step 3: Cross multiply
    32,070x = 43,689 × 43,689
  4. Step 4: Simplify right side
    32,070x = 1,908,728,721
  5. Step 5: Solve for x
    x = 1,908,728,721/32,070
  6. Step 6: Final answer
    x = 59,517.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.