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Finding the Third Proportional to 24,697 and 54,078.50

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Solution

The third proportional to 24,697 and 54,078.50 is: 118,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697 : 54,078.50 = 54,078.50 : x
  2. Step 2: Convert to fraction form
    24,697/54,078.50 = 54,078.50/x
  3. Step 3: Cross multiply
    24,697x = 54,078.50 × 54,078.50
  4. Step 4: Simplify right side
    24,697x = 2,924,484,162.25
  5. Step 5: Solve for x
    x = 2,924,484,162.25/24,697
  6. Step 6: Final answer
    x = 118,414.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.