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Finding the Third Proportional to 30,223.13 and 43,173

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Solution

The third proportional to 30,223.13 and 43,173 is: 61,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.13 : 43,173 = 43,173 : x
  2. Step 2: Convert to fraction form
    30,223.13/43,173 = 43,173/x
  3. Step 3: Cross multiply
    30,223.13x = 43,173 × 43,173
  4. Step 4: Simplify right side
    30,223.13x = 1,863,907,929
  5. Step 5: Solve for x
    x = 1,863,907,929/30,223.13
  6. Step 6: Final answer
    x = 61,671.58

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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.