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Finding the Third Proportional to 23,135.63 and 47,914.88

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Solution

The third proportional to 23,135.63 and 47,914.88 is: 99,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,135.63 : 47,914.88 = 47,914.88 : x
  2. Step 2: Convert to fraction form
    23,135.63/47,914.88 = 47,914.88/x
  3. Step 3: Cross multiply
    23,135.63x = 47,914.88 × 47,914.88
  4. Step 4: Simplify right side
    23,135.63x = 2,295,835,246.27
  5. Step 5: Solve for x
    x = 2,295,835,246.27/23,135.63
  6. Step 6: Final answer
    x = 99,233.77

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.