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Finding the Third Proportional to 46,834.45 and 69,011.37

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Solution

The third proportional to 46,834.45 and 69,011.37 is: 101,689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,834.45 : 69,011.37 = 69,011.37 : x
  2. Step 2: Convert to fraction form
    46,834.45/69,011.37 = 69,011.37/x
  3. Step 3: Cross multiply
    46,834.45x = 69,011.37 × 69,011.37
  4. Step 4: Simplify right side
    46,834.45x = 4,762,568,801.09
  5. Step 5: Solve for x
    x = 4,762,568,801.09/46,834.45
  6. Step 6: Final answer
    x = 101,689.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.