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Finding the Third Proportional to 18,434.25 and 43,335

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Solution

The third proportional to 18,434.25 and 43,335 is: 101,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434.25 : 43,335 = 43,335 : x
  2. Step 2: Convert to fraction form
    18,434.25/43,335 = 43,335/x
  3. Step 3: Cross multiply
    18,434.25x = 43,335 × 43,335
  4. Step 4: Simplify right side
    18,434.25x = 1,877,922,225
  5. Step 5: Solve for x
    x = 1,877,922,225/18,434.25
  6. Step 6: Final answer
    x = 101,871.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.