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Finding the Third Proportional to 27,763.50 and 44,157

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Solution

The third proportional to 27,763.50 and 44,157 is: 70,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.50 : 44,157 = 44,157 : x
  2. Step 2: Convert to fraction form
    27,763.50/44,157 = 44,157/x
  3. Step 3: Cross multiply
    27,763.50x = 44,157 × 44,157
  4. Step 4: Simplify right side
    27,763.50x = 1,949,840,649
  5. Step 5: Solve for x
    x = 1,949,840,649/27,763.50
  6. Step 6: Final answer
    x = 70,230.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.