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Finding the Third Proportional to 23,383.69 and 48,146.06

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Solution

The third proportional to 23,383.69 and 48,146.06 is: 99,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.69 : 48,146.06 = 48,146.06 : x
  2. Step 2: Convert to fraction form
    23,383.69/48,146.06 = 48,146.06/x
  3. Step 3: Cross multiply
    23,383.69x = 48,146.06 × 48,146.06
  4. Step 4: Simplify right side
    23,383.69x = 2,318,043,334.25
  5. Step 5: Solve for x
    x = 2,318,043,334.25/23,383.69
  6. Step 6: Final answer
    x = 99,130.79

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.