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Finding the Third Proportional to 46,318.50 and 70,660.69

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Solution

The third proportional to 46,318.50 and 70,660.69 is: 107,795.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,318.50 : 70,660.69 = 70,660.69 : x
  2. Step 2: Convert to fraction form
    46,318.50/70,660.69 = 70,660.69/x
  3. Step 3: Cross multiply
    46,318.50x = 70,660.69 × 70,660.69
  4. Step 4: Simplify right side
    46,318.50x = 4,992,932,757.97
  5. Step 5: Solve for x
    x = 4,992,932,757.97/46,318.50
  6. Step 6: Final answer
    x = 107,795.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.