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Finding the Third Proportional to 12,107.60 and 25,658.02

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Solution

The third proportional to 12,107.60 and 25,658.02 is: 54,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.60 : 25,658.02 = 25,658.02 : x
  2. Step 2: Convert to fraction form
    12,107.60/25,658.02 = 25,658.02/x
  3. Step 3: Cross multiply
    12,107.60x = 25,658.02 × 25,658.02
  4. Step 4: Simplify right side
    12,107.60x = 658,333,765.81
  5. Step 5: Solve for x
    x = 658,333,765.81/12,107.60
  6. Step 6: Final answer
    x = 54,373.59

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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.