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Finding the Third Proportional to 30,906 and 46,503

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Solution

The third proportional to 30,906 and 46,503 is: 69,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906 : 46,503 = 46,503 : x
  2. Step 2: Convert to fraction form
    30,906/46,503 = 46,503/x
  3. Step 3: Cross multiply
    30,906x = 46,503 × 46,503
  4. Step 4: Simplify right side
    30,906x = 2,162,529,009
  5. Step 5: Solve for x
    x = 2,162,529,009/30,906
  6. Step 6: Final answer
    x = 69,971.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.