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Finding the Third Proportional to 23,571.84 and 32,031.70

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Solution

The third proportional to 23,571.84 and 32,031.70 is: 43,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.84 : 32,031.70 = 32,031.70 : x
  2. Step 2: Convert to fraction form
    23,571.84/32,031.70 = 32,031.70/x
  3. Step 3: Cross multiply
    23,571.84x = 32,031.70 × 32,031.70
  4. Step 4: Simplify right side
    23,571.84x = 1,026,030,005.09
  5. Step 5: Solve for x
    x = 1,026,030,005.09/23,571.84
  6. Step 6: Final answer
    x = 43,527.78

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