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Finding the Third Proportional to 24,012 and 53,200

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Solution

The third proportional to 24,012 and 53,200 is: 117,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012 : 53,200 = 53,200 : x
  2. Step 2: Convert to fraction form
    24,012/53,200 = 53,200/x
  3. Step 3: Cross multiply
    24,012x = 53,200 × 53,200
  4. Step 4: Simplify right side
    24,012x = 2,830,240,000
  5. Step 5: Solve for x
    x = 2,830,240,000/24,012
  6. Step 6: Final answer
    x = 117,867.73

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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.