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Finding the Third Proportional to 20,762.25 and 48,742.13

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Solution

The third proportional to 20,762.25 and 48,742.13 is: 114,428.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.25 : 48,742.13 = 48,742.13 : x
  2. Step 2: Convert to fraction form
    20,762.25/48,742.13 = 48,742.13/x
  3. Step 3: Cross multiply
    20,762.25x = 48,742.13 × 48,742.13
  4. Step 4: Simplify right side
    20,762.25x = 2,375,794,749.52
  5. Step 5: Solve for x
    x = 2,375,794,749.52/20,762.25
  6. Step 6: Final answer
    x = 114,428.58

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.