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Finding the Third Proportional to 31,503 and 46,848

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Solution

The third proportional to 31,503 and 46,848 is: 69,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,503 : 46,848 = 46,848 : x
  2. Step 2: Convert to fraction form
    31,503/46,848 = 46,848/x
  3. Step 3: Cross multiply
    31,503x = 46,848 × 46,848
  4. Step 4: Simplify right side
    31,503x = 2,194,735,104
  5. Step 5: Solve for x
    x = 2,194,735,104/31,503
  6. Step 6: Final answer
    x = 69,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.