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Finding the Third Proportional to 23,711.63 and 51,606.56

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Solution

The third proportional to 23,711.63 and 51,606.56 is: 112,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,711.63 : 51,606.56 = 51,606.56 : x
  2. Step 2: Convert to fraction form
    23,711.63/51,606.56 = 51,606.56/x
  3. Step 3: Cross multiply
    23,711.63x = 51,606.56 × 51,606.56
  4. Step 4: Simplify right side
    23,711.63x = 2,663,237,293.07
  5. Step 5: Solve for x
    x = 2,663,237,293.07/23,711.63
  6. Step 6: Final answer
    x = 112,317.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.