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Finding the Third Proportional to 31,458 and 45,889

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Solution

The third proportional to 31,458 and 45,889 is: 66,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,458 : 45,889 = 45,889 : x
  2. Step 2: Convert to fraction form
    31,458/45,889 = 45,889/x
  3. Step 3: Cross multiply
    31,458x = 45,889 × 45,889
  4. Step 4: Simplify right side
    31,458x = 2,105,800,321
  5. Step 5: Solve for x
    x = 2,105,800,321/31,458
  6. Step 6: Final answer
    x = 66,940.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.