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Finding the Third Proportional to 24,208.88 and 36,328.50

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Solution

The third proportional to 24,208.88 and 36,328.50 is: 54,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,208.88 : 36,328.50 = 36,328.50 : x
  2. Step 2: Convert to fraction form
    24,208.88/36,328.50 = 36,328.50/x
  3. Step 3: Cross multiply
    24,208.88x = 36,328.50 × 36,328.50
  4. Step 4: Simplify right side
    24,208.88x = 1,319,759,912.25
  5. Step 5: Solve for x
    x = 1,319,759,912.25/24,208.88
  6. Step 6: Final answer
    x = 54,515.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.