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Finding the Third Proportional to 47,864.81 and 79,497.56

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Solution

The third proportional to 47,864.81 and 79,497.56 is: 132,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,864.81 : 79,497.56 = 79,497.56 : x
  2. Step 2: Convert to fraction form
    47,864.81/79,497.56 = 79,497.56/x
  3. Step 3: Cross multiply
    47,864.81x = 79,497.56 × 79,497.56
  4. Step 4: Simplify right side
    47,864.81x = 6,319,862,443.44
  5. Step 5: Solve for x
    x = 6,319,862,443.44/47,864.81
  6. Step 6: Final answer
    x = 132,035.67

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.