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Finding the Third Proportional to 31,004 and 67,804

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Solution

The third proportional to 31,004 and 67,804 is: 148,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004 : 67,804 = 67,804 : x
  2. Step 2: Convert to fraction form
    31,004/67,804 = 67,804/x
  3. Step 3: Cross multiply
    31,004x = 67,804 × 67,804
  4. Step 4: Simplify right side
    31,004x = 4,597,382,416
  5. Step 5: Solve for x
    x = 4,597,382,416/31,004
  6. Step 6: Final answer
    x = 148,283.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.