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Finding the Third Proportional to 29,203.50 and 47,047.50

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Solution

The third proportional to 29,203.50 and 47,047.50 is: 75,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,203.50 : 47,047.50 = 47,047.50 : x
  2. Step 2: Convert to fraction form
    29,203.50/47,047.50 = 47,047.50/x
  3. Step 3: Cross multiply
    29,203.50x = 47,047.50 × 47,047.50
  4. Step 4: Simplify right side
    29,203.50x = 2,213,467,256.25
  5. Step 5: Solve for x
    x = 2,213,467,256.25/29,203.50
  6. Step 6: Final answer
    x = 75,794.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.