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Finding the Third Proportional to 24,439.50 and 53,328.38

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Solution

The third proportional to 24,439.50 and 53,328.38 is: 116,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,439.50 : 53,328.38 = 53,328.38 : x
  2. Step 2: Convert to fraction form
    24,439.50/53,328.38 = 53,328.38/x
  3. Step 3: Cross multiply
    24,439.50x = 53,328.38 × 53,328.38
  4. Step 4: Simplify right side
    24,439.50x = 2,843,915,580.14
  5. Step 5: Solve for x
    x = 2,843,915,580.14/24,439.50
  6. Step 6: Final answer
    x = 116,365.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.