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Finding the Third Proportional to 24,124.67 and 53,157.44

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Solution

The third proportional to 24,124.67 and 53,157.44 is: 117,129.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124.67 : 53,157.44 = 53,157.44 : x
  2. Step 2: Convert to fraction form
    24,124.67/53,157.44 = 53,157.44/x
  3. Step 3: Cross multiply
    24,124.67x = 53,157.44 × 53,157.44
  4. Step 4: Simplify right side
    24,124.67x = 2,825,713,161.57
  5. Step 5: Solve for x
    x = 2,825,713,161.57/24,124.67
  6. Step 6: Final answer
    x = 117,129.60

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Why These Related Problems?

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