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Finding the Third Proportional to 44,032.50 and 95,247

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Solution

The third proportional to 44,032.50 and 95,247 is: 206,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,032.50 : 95,247 = 95,247 : x
  2. Step 2: Convert to fraction form
    44,032.50/95,247 = 95,247/x
  3. Step 3: Cross multiply
    44,032.50x = 95,247 × 95,247
  4. Step 4: Simplify right side
    44,032.50x = 9,071,991,009
  5. Step 5: Solve for x
    x = 9,071,991,009/44,032.50
  6. Step 6: Final answer
    x = 206,029.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.