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Finding the Third Proportional to 31,941.50 and 69,476

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Solution

The third proportional to 31,941.50 and 69,476 is: 151,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,941.50 : 69,476 = 69,476 : x
  2. Step 2: Convert to fraction form
    31,941.50/69,476 = 69,476/x
  3. Step 3: Cross multiply
    31,941.50x = 69,476 × 69,476
  4. Step 4: Simplify right side
    31,941.50x = 4,826,914,576
  5. Step 5: Solve for x
    x = 4,826,914,576/31,941.50
  6. Step 6: Final answer
    x = 151,117.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.