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Finding the Third Proportional to 31,205 and 44,154

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Solution

The third proportional to 31,205 and 44,154 is: 62,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205 : 44,154 = 44,154 : x
  2. Step 2: Convert to fraction form
    31,205/44,154 = 44,154/x
  3. Step 3: Cross multiply
    31,205x = 44,154 × 44,154
  4. Step 4: Simplify right side
    31,205x = 1,949,575,716
  5. Step 5: Solve for x
    x = 1,949,575,716/31,205
  6. Step 6: Final answer
    x = 62,476.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.