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Finding the Third Proportional to 22,748.34 and 48,789.84

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Solution

The third proportional to 22,748.34 and 48,789.84 is: 104,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,748.34 : 48,789.84 = 48,789.84 : x
  2. Step 2: Convert to fraction form
    22,748.34/48,789.84 = 48,789.84/x
  3. Step 3: Cross multiply
    22,748.34x = 48,789.84 × 48,789.84
  4. Step 4: Simplify right side
    22,748.34x = 2,380,448,853.15
  5. Step 5: Solve for x
    x = 2,380,448,853.15/22,748.34
  6. Step 6: Final answer
    x = 104,642.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.