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Finding the Third Proportional to 29,976 and 45,041.25

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Solution

The third proportional to 29,976 and 45,041.25 is: 67,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 45,041.25 = 45,041.25 : x
  2. Step 2: Convert to fraction form
    29,976/45,041.25 = 45,041.25/x
  3. Step 3: Cross multiply
    29,976x = 45,041.25 × 45,041.25
  4. Step 4: Simplify right side
    29,976x = 2,028,714,201.56
  5. Step 5: Solve for x
    x = 2,028,714,201.56/29,976
  6. Step 6: Final answer
    x = 67,677.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.