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Finding the Third Proportional to 46,936 and 72,711

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Solution

The third proportional to 46,936 and 72,711 is: 112,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,936 : 72,711 = 72,711 : x
  2. Step 2: Convert to fraction form
    46,936/72,711 = 72,711/x
  3. Step 3: Cross multiply
    46,936x = 72,711 × 72,711
  4. Step 4: Simplify right side
    46,936x = 5,286,889,521
  5. Step 5: Solve for x
    x = 5,286,889,521/46,936
  6. Step 6: Final answer
    x = 112,640.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.