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Finding the Third Proportional to 24,168 and 53,239.50

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Solution

The third proportional to 24,168 and 53,239.50 is: 117,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,168 : 53,239.50 = 53,239.50 : x
  2. Step 2: Convert to fraction form
    24,168/53,239.50 = 53,239.50/x
  3. Step 3: Cross multiply
    24,168x = 53,239.50 × 53,239.50
  4. Step 4: Simplify right side
    24,168x = 2,834,444,360.25
  5. Step 5: Solve for x
    x = 2,834,444,360.25/24,168
  6. Step 6: Final answer
    x = 117,280.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.