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Finding the Third Proportional to 47,096.63 and 65,876.81

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Solution

The third proportional to 47,096.63 and 65,876.81 is: 92,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096.63 : 65,876.81 = 65,876.81 : x
  2. Step 2: Convert to fraction form
    47,096.63/65,876.81 = 65,876.81/x
  3. Step 3: Cross multiply
    47,096.63x = 65,876.81 × 65,876.81
  4. Step 4: Simplify right side
    47,096.63x = 4,339,754,425.16
  5. Step 5: Solve for x
    x = 4,339,754,425.16/47,096.63
  6. Step 6: Final answer
    x = 92,145.76

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.