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Finding the Third Proportional to 46,835.16 and 71,425.97

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Solution

The third proportional to 46,835.16 and 71,425.97 is: 108,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,835.16 : 71,425.97 = 71,425.97 : x
  2. Step 2: Convert to fraction form
    46,835.16/71,425.97 = 71,425.97/x
  3. Step 3: Cross multiply
    46,835.16x = 71,425.97 × 71,425.97
  4. Step 4: Simplify right side
    46,835.16x = 5,101,669,011.88
  5. Step 5: Solve for x
    x = 5,101,669,011.88/46,835.16
  6. Step 6: Final answer
    x = 108,928.19

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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.