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Finding the Third Proportional to 54,488.53 and 73,224

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Solution

The third proportional to 54,488.53 and 73,224 is: 98,401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,488.53 : 73,224 = 73,224 : x
  2. Step 2: Convert to fraction form
    54,488.53/73,224 = 73,224/x
  3. Step 3: Cross multiply
    54,488.53x = 73,224 × 73,224
  4. Step 4: Simplify right side
    54,488.53x = 5,361,754,176
  5. Step 5: Solve for x
    x = 5,361,754,176/54,488.53
  6. Step 6: Final answer
    x = 98,401.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.