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Finding the Third Proportional to 24,178.50 and 51,293.25

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Solution

The third proportional to 24,178.50 and 51,293.25 is: 108,815.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178.50 : 51,293.25 = 51,293.25 : x
  2. Step 2: Convert to fraction form
    24,178.50/51,293.25 = 51,293.25/x
  3. Step 3: Cross multiply
    24,178.50x = 51,293.25 × 51,293.25
  4. Step 4: Simplify right side
    24,178.50x = 2,630,997,495.56
  5. Step 5: Solve for x
    x = 2,630,997,495.56/24,178.50
  6. Step 6: Final answer
    x = 108,815.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.