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Finding the Third Proportional to 29,361 and 62,367.50

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Solution

The third proportional to 29,361 and 62,367.50 is: 132,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,361 : 62,367.50 = 62,367.50 : x
  2. Step 2: Convert to fraction form
    29,361/62,367.50 = 62,367.50/x
  3. Step 3: Cross multiply
    29,361x = 62,367.50 × 62,367.50
  4. Step 4: Simplify right side
    29,361x = 3,889,705,056.25
  5. Step 5: Solve for x
    x = 3,889,705,056.25/29,361
  6. Step 6: Final answer
    x = 132,478.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.