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Finding the Third Proportional to 24,688.50 and 54,715.31

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Solution

The third proportional to 24,688.50 and 54,715.31 is: 121,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.50 : 54,715.31 = 54,715.31 : x
  2. Step 2: Convert to fraction form
    24,688.50/54,715.31 = 54,715.31/x
  3. Step 3: Cross multiply
    24,688.50x = 54,715.31 × 54,715.31
  4. Step 4: Simplify right side
    24,688.50x = 2,993,765,421.97
  5. Step 5: Solve for x
    x = 2,993,765,421.97/24,688.50
  6. Step 6: Final answer
    x = 121,261.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.