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Finding the Third Proportional to 29,948 and 45,831

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Solution

The third proportional to 29,948 and 45,831 is: 70,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,948 : 45,831 = 45,831 : x
  2. Step 2: Convert to fraction form
    29,948/45,831 = 45,831/x
  3. Step 3: Cross multiply
    29,948x = 45,831 × 45,831
  4. Step 4: Simplify right side
    29,948x = 2,100,480,561
  5. Step 5: Solve for x
    x = 2,100,480,561/29,948
  6. Step 6: Final answer
    x = 70,137.59

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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.