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Finding the Third Proportional to 31,604.75 and 72,981.50

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Solution

The third proportional to 31,604.75 and 72,981.50 is: 168,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.75 : 72,981.50 = 72,981.50 : x
  2. Step 2: Convert to fraction form
    31,604.75/72,981.50 = 72,981.50/x
  3. Step 3: Cross multiply
    31,604.75x = 72,981.50 × 72,981.50
  4. Step 4: Simplify right side
    31,604.75x = 5,326,299,342.25
  5. Step 5: Solve for x
    x = 5,326,299,342.25/31,604.75
  6. Step 6: Final answer
    x = 168,528.44

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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.