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Finding the Third Proportional to 29,944 and 45,827

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Solution

The third proportional to 29,944 and 45,827 is: 70,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,944 : 45,827 = 45,827 : x
  2. Step 2: Convert to fraction form
    29,944/45,827 = 45,827/x
  3. Step 3: Cross multiply
    29,944x = 45,827 × 45,827
  4. Step 4: Simplify right side
    29,944x = 2,100,113,929
  5. Step 5: Solve for x
    x = 2,100,113,929/29,944
  6. Step 6: Final answer
    x = 70,134.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.