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Finding the Third Proportional to 47,239.50 and 66,052.50

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Solution

The third proportional to 47,239.50 and 66,052.50 is: 92,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239.50 : 66,052.50 = 66,052.50 : x
  2. Step 2: Convert to fraction form
    47,239.50/66,052.50 = 66,052.50/x
  3. Step 3: Cross multiply
    47,239.50x = 66,052.50 × 66,052.50
  4. Step 4: Simplify right side
    47,239.50x = 4,362,932,756.25
  5. Step 5: Solve for x
    x = 4,362,932,756.25/47,239.50
  6. Step 6: Final answer
    x = 92,357.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.