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Finding the Third Proportional to 32,880.94 and 51,721.03

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Solution

The third proportional to 32,880.94 and 51,721.03 is: 81,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880.94 : 51,721.03 = 51,721.03 : x
  2. Step 2: Convert to fraction form
    32,880.94/51,721.03 = 51,721.03/x
  3. Step 3: Cross multiply
    32,880.94x = 51,721.03 × 51,721.03
  4. Step 4: Simplify right side
    32,880.94x = 2,675,065,073.56
  5. Step 5: Solve for x
    x = 2,675,065,073.56/32,880.94
  6. Step 6: Final answer
    x = 81,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.