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Finding the Third Proportional to 32,373 and 43,736.63

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Solution

The third proportional to 32,373 and 43,736.63 is: 59,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,373 : 43,736.63 = 43,736.63 : x
  2. Step 2: Convert to fraction form
    32,373/43,736.63 = 43,736.63/x
  3. Step 3: Cross multiply
    32,373x = 43,736.63 × 43,736.63
  4. Step 4: Simplify right side
    32,373x = 1,912,892,366.39
  5. Step 5: Solve for x
    x = 1,912,892,366.39/32,373
  6. Step 6: Final answer
    x = 59,089.13

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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.