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Finding the Third Proportional to 45,676.41 and 71,750.81

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Solution

The third proportional to 45,676.41 and 71,750.81 is: 112,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,676.41 : 71,750.81 = 71,750.81 : x
  2. Step 2: Convert to fraction form
    45,676.41/71,750.81 = 71,750.81/x
  3. Step 3: Cross multiply
    45,676.41x = 71,750.81 × 71,750.81
  4. Step 4: Simplify right side
    45,676.41x = 5,148,179,094.41
  5. Step 5: Solve for x
    x = 5,148,179,094.41/45,676.41
  6. Step 6: Final answer
    x = 112,709.81

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.