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Finding the Third Proportional to 22,883.77 and 47,236.92

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Solution

The third proportional to 22,883.77 and 47,236.92 is: 97,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.77 : 47,236.92 = 47,236.92 : x
  2. Step 2: Convert to fraction form
    22,883.77/47,236.92 = 47,236.92/x
  3. Step 3: Cross multiply
    22,883.77x = 47,236.92 × 47,236.92
  4. Step 4: Simplify right side
    22,883.77x = 2,231,326,788.22
  5. Step 5: Solve for x
    x = 2,231,326,788.22/22,883.77
  6. Step 6: Final answer
    x = 97,506.98

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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.