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Finding the Third Proportional to 46,728 and 71,160

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Solution

The third proportional to 46,728 and 71,160 is: 108,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,728 : 71,160 = 71,160 : x
  2. Step 2: Convert to fraction form
    46,728/71,160 = 71,160/x
  3. Step 3: Cross multiply
    46,728x = 71,160 × 71,160
  4. Step 4: Simplify right side
    46,728x = 5,063,745,600
  5. Step 5: Solve for x
    x = 5,063,745,600/46,728
  6. Step 6: Final answer
    x = 108,366.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.