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Finding the Third Proportional to 31,304 and 46,969.50

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Solution

The third proportional to 31,304 and 46,969.50 is: 70,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304 : 46,969.50 = 46,969.50 : x
  2. Step 2: Convert to fraction form
    31,304/46,969.50 = 46,969.50/x
  3. Step 3: Cross multiply
    31,304x = 46,969.50 × 46,969.50
  4. Step 4: Simplify right side
    31,304x = 2,206,133,930.25
  5. Step 5: Solve for x
    x = 2,206,133,930.25/31,304
  6. Step 6: Final answer
    x = 70,474.51

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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.