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Finding the Third Proportional to 31,604.25 and 72,980.25

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Solution

The third proportional to 31,604.25 and 72,980.25 is: 168,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.25 : 72,980.25 = 72,980.25 : x
  2. Step 2: Convert to fraction form
    31,604.25/72,980.25 = 72,980.25/x
  3. Step 3: Cross multiply
    31,604.25x = 72,980.25 × 72,980.25
  4. Step 4: Simplify right side
    31,604.25x = 5,326,116,890.06
  5. Step 5: Solve for x
    x = 5,326,116,890.06/31,604.25
  6. Step 6: Final answer
    x = 168,525.34

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.