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Finding the Third Proportional to 31,422 and 44,789

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Solution

The third proportional to 31,422 and 44,789 is: 63,842.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,422 : 44,789 = 44,789 : x
  2. Step 2: Convert to fraction form
    31,422/44,789 = 44,789/x
  3. Step 3: Cross multiply
    31,422x = 44,789 × 44,789
  4. Step 4: Simplify right side
    31,422x = 2,006,054,521
  5. Step 5: Solve for x
    x = 2,006,054,521/31,422
  6. Step 6: Final answer
    x = 63,842.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.