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Finding the Third Proportional to 29,761 and 45,025.50

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Solution

The third proportional to 29,761 and 45,025.50 is: 68,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,761 : 45,025.50 = 45,025.50 : x
  2. Step 2: Convert to fraction form
    29,761/45,025.50 = 45,025.50/x
  3. Step 3: Cross multiply
    29,761x = 45,025.50 × 45,025.50
  4. Step 4: Simplify right side
    29,761x = 2,027,295,650.25
  5. Step 5: Solve for x
    x = 2,027,295,650.25/29,761
  6. Step 6: Final answer
    x = 68,119.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.