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Finding the Third Proportional to 20,094.75 and 48,615.75

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Solution

The third proportional to 20,094.75 and 48,615.75 is: 117,617.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,094.75 : 48,615.75 = 48,615.75 : x
  2. Step 2: Convert to fraction form
    20,094.75/48,615.75 = 48,615.75/x
  3. Step 3: Cross multiply
    20,094.75x = 48,615.75 × 48,615.75
  4. Step 4: Simplify right side
    20,094.75x = 2,363,491,148.06
  5. Step 5: Solve for x
    x = 2,363,491,148.06/20,094.75
  6. Step 6: Final answer
    x = 117,617.35

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.