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Finding the Third Proportional to 54,742.50 and 71,880.75

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Solution

The third proportional to 54,742.50 and 71,880.75 is: 94,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.50 : 71,880.75 = 71,880.75 : x
  2. Step 2: Convert to fraction form
    54,742.50/71,880.75 = 71,880.75/x
  3. Step 3: Cross multiply
    54,742.50x = 71,880.75 × 71,880.75
  4. Step 4: Simplify right side
    54,742.50x = 5,166,842,220.56
  5. Step 5: Solve for x
    x = 5,166,842,220.56/54,742.50
  6. Step 6: Final answer
    x = 94,384.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.